40072577126400 has 4368 divisors, whose sum is σ = 194710133003904. Its totient is φ = 7934595563520.

The previous prime is 40072577126389. The next prime is 40072577126431. The reversal of 40072577126400 is 462177527004.

40072577126400 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 2 + 577 + 12 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4368).

It is a super-2 number, since 2×40072577126400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 115482931027 + ... + 115482931373.

Almost surely, 2^{40072577126400} is an apocalyptic number.

40072577126400 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 40072577126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97355066501952).

40072577126400 is an abundant number, since it is smaller than the sum of its proper divisors (154637555877504).

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

40072577126400 is a wasteful number, since it uses less digits than its factorization.

40072577126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 40072577126400 in words is "forty trillion, seventy-two billion, five hundred seventy-seven million, one hundred twenty-six thousand, four hundred".