31012413432 has 512 divisors, whose sum is σ = 108109209600. Its totient is φ = 7153920000.

The previous prime is 31012413403. The next prime is 31012413449. The reversal of 31012413432 is 23431421013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123555307 + ... + 123555557.

It is an arithmetic number, because the mean of its divisors is an integer number (211150800).

Almost surely, 2^31012413432 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 31012413432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54054604800).

31012413432 is an abundant number, since it is smaller than the sum of its proper divisors (77096796168).

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

31012413432 is a wasteful number, since it uses less digits than its factorization.

31012413432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31012413432 its reverse (23431421013), we get a palindrome (54443834445).

It can be divided in two parts, 31012 and 413432, that added together give a palindrome (444444).

The spelling of 31012413432 in words is "thirty-one billion, twelve million, four hundred thirteen thousand, four hundred thirty-two".