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40221016992 = 25331317210643
BaseRepresentation
bin100101011101010111…
…000000001110100000
310211211001221100211000
4211131113000032200
51124333040020432
630251031552000
72622500001132
oct453527001640
9124731840730
1040221016992
111606a796412
127965b2b600
133a3cab7b50
141d37aa1052
1510a60e357c
hex95d5c03a0

40221016992 has 192 divisors, whose sum is σ = 133767365760. Its totient is φ = 11647660032.

The previous prime is 40221016943. The next prime is 40221016999. The reversal of 40221016992 is 29961012204.

40221016992 is a `hidden beast` number, since 402 + 2 + 1 + 0 + 169 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40221016999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85623 + ... + 296265.

It is an arithmetic number, because the mean of its divisors is an integer number (696705030).

Almost surely, 240221016992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40221016992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66883682880).

40221016992 is an abundant number, since it is smaller than the sum of its proper divisors (93546348768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40221016992 is a wasteful number, since it uses less digits than its factorization.

40221016992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210692 (or 210678 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 40221016992 in words is "forty billion, two hundred twenty-one million, sixteen thousand, nine hundred ninety-two".