40152360171120 has 80 divisors (see below), whose sum is σ = 124474129291680. Its totient is φ = 10707140109312.

The previous prime is 40152360171047. The next prime is 40152360171167. The reversal of 40152360171120 is 2117106325104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×40152360171120² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15789186 + ... + 18154974.

It is an arithmetic number, because the mean of its divisors is an integer number (1555926616146).

Almost surely, 2^{40152360171120} is an apocalyptic number.

40152360171120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40152360171120 is an abundant number, since it is smaller than the sum of its proper divisors (84321769120560).

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

40152360171120 is a wasteful number, since it uses less digits than its factorization.

40152360171120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436522 (or 2436516 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

Adding to 40152360171120 its reverse (2117106325104), we get a palindrome (42269466496224).

The spelling of 40152360171120 in words is "forty trillion, one hundred fifty-two billion, three hundred sixty million, one hundred seventy-one thousand, one hundred twenty".