31204415010432 has 128 divisors (see below), whose sum is σ = 87298322126400. Its totient is φ = 9848476385280.

The previous prime is 31204415010421. The next prime is 31204415010443. The reversal of 31204415010432 is 23401051440213.

It is an interprime number because it is at equal distance from previous prime (31204415010421) and next prime (31204415010443).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×31204415010432² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31204415010432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11761582 + ... + 14168402.

Almost surely, 2^{31204415010432} is an apocalyptic number.

31204415010432 is a gapful number since it is divisible by the number (32) 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 31204415010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43649161063200).

31204415010432 is an abundant number, since it is smaller than the sum of its proper divisors (56093907115968).

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

31204415010432 is a wasteful number, since it uses less digits than its factorization.

31204415010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408634 (or 2408622 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 31204415010432 its reverse (23401051440213), we get a palindrome (54605466450645).

The spelling of 31204415010432 in words is "thirty-one trillion, two hundred four billion, four hundred fifteen million, ten thousand, four hundred thirty-two".