| Base | Representation |
|---|---|
| bin | 10010001110010001100101… |
| … | …00011101000101000000000 |
| 3 | 12020212221010211002211112000 |
| 4 | 21013020302203220220000 |
| 5 | 20223023241111331140 |
| 6 | 221121122151504000 |
| 7 | 11304112434666150 |
| oct | 1107106243505000 |
| 9 | 166787124084460 |
| 10 | 40072893073920 |
| 11 | 1184a900495423 |
| 12 | 45b248a988000 |
| 13 | 1948b1c1c9475 |
| 14 | 9c7777422760 |
| 15 | 4975c42eea30 |
| hex | 2472328e8a00 |
40072893073920 has 1280 divisors, whose sum is σ = 167350816005120. Its totient is φ = 8897181253632.
The previous prime is 40072893073919. The next prime is 40072893073921. The reversal of 40072893073920 is 2937039827004.
40072893073920 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 289 + 307 + 39 + 20 = 666.
It is an interprime number because it is at equal distance from previous prime (40072893073919) and next prime (40072893073921).
It is a tau number, because it is divible by the number of its divisors (1280).
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 (40072893073921) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13551873082 + ... + 13551876038.
It is an arithmetic number, because the mean of its divisors is an integer number (130742825004).
Almost surely, 240072893073920 is an apocalyptic number.
40072893073920 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 40072893073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83675408002560).
40072893073920 is an abundant number, since it is smaller than the sum of its proper divisors (127277922931200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40072893073920 is a wasteful number, since it uses less digits than its factorization.
40072893073920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3790 (or 3768 counting only the distinct ones).
The product of its (nonzero) digits is 4572288, while the sum is 54.
The spelling of 40072893073920 in words is "forty trillion, seventy-two billion, eight hundred ninety-three million, seventy-three thousand, nine hundred twenty".
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