40026100752000 has 896 divisors, whose sum is σ = 162768614598720. Its totient is φ = 9703266048000.

The previous prime is 40026100751999. The next prime is 40026100752017. The reversal of 40026100752000 is 25700162004.

40026100752000 is a `hidden beast` number, since 40 + 0 + 2 + 610 + 0 + 7 + 5 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 128148019 + ... + 128459981.

Almost surely, 2^{40026100752000} is an apocalyptic number.

40026100752000 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 40026100752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81384307299360).

40026100752000 is an abundant number, since it is smaller than the sum of its proper divisors (122742513846720).

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

40026100752000 is an equidigital number, since it uses as much as digits as its factorization.

40026100752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312021 (or 311984 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 40026100752000 in words is "forty trillion, twenty-six billion, one hundred million, seven hundred fifty-two thousand".