40082552516160 has 1680 divisors, whose sum is σ = 183642122334528. Its totient is φ = 8204339404800.

The previous prime is 40082552516119. The next prime is 40082552516183. The reversal of 40082552516160 is 6161525528004.

40082552516160 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 2 + 5 + 5 + 25 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×40082552516160² (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 239 ways as a sum of consecutive naturals, for example, 936027550 + ... + 936070370.

Almost surely, 2^{40082552516160} is an apocalyptic number.

40082552516160 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 40082552516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91821061167264).

40082552516160 is an abundant number, since it is smaller than the sum of its proper divisors (143559569818368).

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

40082552516160 is a wasteful number, since it uses less digits than its factorization.

40082552516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42942 (or 42916 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 40082552516160 in words is "forty trillion, eighty-two billion, five hundred fifty-two million, five hundred sixteen thousand, one hundred sixty".