31124400032 has 96 divisors (see below), whose sum is σ = 70304661504. Its totient is φ = 13425350400.

The previous prime is 31124400029. The next prime is 31124400067. The reversal of 31124400032 is 23000442113.

It is a junction number, because it is equal to n+sod(n) for n = 31124399977 and 31124400013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1013057 + ... + 1043327.

It is an arithmetic number, because the mean of its divisors is an integer number (732340224).

Almost surely, 2^31124400032 is an apocalyptic number.

31124400032 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 31124400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35152330752).

31124400032 is an abundant number, since it is smaller than the sum of its proper divisors (39180261472).

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

31124400032 is a wasteful number, since it uses less digits than its factorization.

31124400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30442 (or 30434 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31124400032 its reverse (23000442113), we get a palindrome (54124842145).

The spelling of 31124400032 in words is "thirty-one billion, one hundred twenty-four million, four hundred thousand, thirty-two".