31142400032 has 48 divisors (see below), whose sum is σ = 62651014272. Its totient is φ = 15231402240.

The previous prime is 31142400007. The next prime is 31142400041. The reversal of 31142400032 is 23000424113.

It is a super-2 number, since 2×31142400032² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31142399977 and 31142400013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3335723 + ... + 3345045.

It is an arithmetic number, because the mean of its divisors is an integer number (1305229464).

Almost surely, 2^31142400032 is an apocalyptic number.

31142400032 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 31142400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31325507136).

31142400032 is an abundant number, since it is smaller than the sum of its proper divisors (31508614240).

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

31142400032 is a wasteful number, since it uses less digits than its factorization.

31142400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11601 (or 11593 counting only the distinct ones).

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

Adding to 31142400032 its reverse (23000424113), we get a palindrome (54142824145).

The spelling of 31142400032 in words is "thirty-one billion, one hundred forty-two million, four hundred thousand, thirty-two".