31690424211200 has 432 divisors, whose sum is σ = 80033818861920. Its totient is φ = 12421693440000.

The previous prime is 31690424211197. The next prime is 31690424211217. The reversal of 31690424211200 is 211242409613.

It is a super-2 number, since 2×31690424211200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52729490900 + ... + 52729491500.

Almost surely, 2^{31690424211200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31690424211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40016909430960).

31690424211200 is an abundant number, since it is smaller than the sum of its proper divisors (48343394650720).

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

31690424211200 is a wasteful number, since it uses less digits than its factorization.

31690424211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 31690424211200 in words is "thirty-one trillion, six hundred ninety billion, four hundred twenty-four million, two hundred eleven thousand, two hundred".