40372317881280 has 2016 divisors, whose sum is σ = 187990246563840. Its totient is φ = 8118119116800.

The previous prime is 40372317881251. The next prime is 40372317881297. The reversal of 40372317881280 is 8218871327304.

40372317881280 is a `hidden beast` number, since 4 + 0 + 372 + 3 + 178 + 81 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×40372317881280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1588010649 + ... + 1588036071.

It is an arithmetic number, because the mean of its divisors is an integer number (93249130240).

Almost surely, 2^{40372317881280} is an apocalyptic number.

40372317881280 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 40372317881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93995123281920).

40372317881280 is an abundant number, since it is smaller than the sum of its proper divisors (147617928682560).

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

40372317881280 is a wasteful number, since it uses less digits than its factorization.

40372317881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25516 (or 25482 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 40372317881280 in words is "forty trillion, three hundred seventy-two billion, three hundred seventeen million, eight hundred eighty-one thousand, two hundred eighty".