40032251342160 has 320 divisors, whose sum is σ = 155386111795200. Its totient is φ = 8282687754240.

The previous prime is 40032251342143. The next prime is 40032251342177. The reversal of 40032251342160 is 6124315223004.

It is an interprime number because it is at equal distance from previous prime (40032251342143) and next prime (40032251342177).

It is a super-2 number, since 2×40032251342160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342760 + ... + 8954439.

It is an arithmetic number, because the mean of its divisors is an integer number (485581599360).

Almost surely, 2^{40032251342160} is an apocalyptic number.

40032251342160 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 40032251342160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77693055897600).

40032251342160 is an abundant number, since it is smaller than the sum of its proper divisors (115353860453040).

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

40032251342160 is a wasteful number, since it uses less digits than its factorization.

40032251342160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9297466 (or 9297460 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 40032251342160 its reverse (6124315223004), we get a palindrome (46156566565164).

The spelling of 40032251342160 in words is "forty trillion, thirty-two billion, two hundred fifty-one million, three hundred forty-two thousand, one hundred sixty".