31221002414432 has 192 divisors, whose sum is σ = 67134803097600. Its totient is φ = 14255212308480.

The previous prime is 31221002414401. The next prime is 31221002414449. The reversal of 31221002414432 is 23441420012213.

It is a junction number, because it is equal to n+sod(n) for n = 31221002414395 and 31221002414404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209185658 + ... + 209334854.

It is an arithmetic number, because the mean of its divisors is an integer number (349660432800).

Almost surely, 2^{31221002414432} is an apocalyptic number.

31221002414432 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 31221002414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33567401548800).

31221002414432 is an abundant number, since it is smaller than the sum of its proper divisors (35913800683168).

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

31221002414432 is a wasteful number, since it uses less digits than its factorization.

31221002414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149429 (or 149421 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 31221002414432 its reverse (23441420012213), we get a palindrome (54662422426645).

The spelling of 31221002414432 in words is "thirty-one trillion, two hundred twenty-one billion, two million, four hundred fourteen thousand, four hundred thirty-two".