| Base | Representation |
|---|---|
| bin | 10010100010100000011011… |
| … | …00111100101111010000000 |
| 3 | 12100100101111001122220000000 |
| 4 | 21101100031213211322000 |
| 5 | 20320420440330300240 |
| 6 | 222412330510000000 |
| 7 | 11405252324565360 |
| oct | 1121201547457200 |
| 9 | 170311431586000 |
| 10 | 40768058056320 |
| 11 | 11a986aaa51801 |
| 12 | 46a51581a6000 |
| 13 | 1999546a5103a |
| 14 | a0d2825309a0 |
| 15 | 4aa70db8e430 |
| hex | 25140d9e5e80 |
40768058056320 has 2048 divisors, whose sum is σ = 171801752371200. Its totient is φ = 9056381976576.
The previous prime is 40768058056289. The next prime is 40768058056321. The reversal of 40768058056320 is 2365085086704.
40768058056320 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 8 + 0 + 58 + 0 + 563 + 20 = 666.
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (40768058056321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 102690322362 + ... + 102690322758.
It is an arithmetic number, because the mean of its divisors is an integer number (83887574400).
Almost surely, 240768058056320 is an apocalyptic number.
40768058056320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 40768058056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85900876185600).
40768058056320 is an abundant number, since it is smaller than the sum of its proper divisors (131033694314880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40768058056320 is an equidigital number, since it uses as much as digits as its factorization.
40768058056320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 714 (or 684 counting only the distinct ones).
The product of its (nonzero) digits is 9676800, while the sum is 54.
The spelling of 40768058056320 in words is "forty trillion, seven hundred sixty-eight billion, fifty-eight million, fifty-six thousand, three hundred twenty".
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