32412413402400 has 144 divisors (see below), whose sum is σ = 105507685388448. Its totient is φ = 8642877696000.

The previous prime is 32412413402293. The next prime is 32412413402477. The reversal of 32412413402400 is 420431421423.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49138780 + ... + 49794020.

It is an arithmetic number, because the mean of its divisors is an integer number (732692259642).

Almost surely, 2^{32412413402400} is an apocalyptic number.

32412413402400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32412413402400 is an abundant number, since it is smaller than the sum of its proper divisors (73095271986048).

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

32412413402400 is a wasteful number, since it uses less digits than its factorization.

32412413402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675875 (or 675862 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 32412413402400 its reverse (420431421423), we get a palindrome (32832844823823).

The spelling of 32412413402400 in words is "thirty-two trillion, four hundred twelve billion, four hundred thirteen million, four hundred two thousand, four hundred".