| Base | Representation |
|---|---|
| bin | 100101010111011100… |
| … | …100111111110000000 |
| 3 | 10211120011022000000000 |
| 4 | 211113130213332000 |
| 5 | 1124132141432300 |
| 6 | 30233130000000 |
| 7 | 2620153622100 |
| oct | 452734477600 |
| 9 | 124504260000 |
| 10 | 40121827200 |
| 11 | 160197a8684 |
| 12 | 7938876000 |
| 13 | 3a25399070 |
| 14 | 1d28841200 |
| 15 | 109c54dc00 |
| hex | 957727f80 |
40121827200 has 1440 divisors, whose sum is σ = 186243001560. Its totient is φ = 8465264640.
The previous prime is 40121827199. The next prime is 40121827201. The reversal of 40121827200 is 272812104.
40121827200 is a `hidden beast` number, since 401 + 218 + 27 + 20 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (40121827199) and next prime (40121827201).
It is a tau number, because it is divible by the number of its divisors (1440).
It is a super-2 number, since 2×401218272002 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40121827201) 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 179 ways as a sum of consecutive naturals, for example, 3086294394 + ... + 3086294406.
Almost surely, 240121827200 is an apocalyptic number.
40121827200 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 40121827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93121500780).
40121827200 is an abundant number, since it is smaller than the sum of its proper divisors (146121174360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40121827200 is an frugal number, since it uses more digits than its factorization.
40121827200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 78 (or 30 counting only the distinct ones).
The product of its (nonzero) digits is 1792, while the sum is 27.
The spelling of 40121827200 in words is "forty billion, one hundred twenty-one million, eight hundred twenty-seven thousand, two hundred".
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