31241014400 has 96 divisors (see below), whose sum is σ = 77464098900. Its totient is φ = 12449607680.

The previous prime is 31241014369. The next prime is 31241014451. The reversal of 31241014400 is 441014213.

It can be written as a sum of positive squares in 6 ways, for example, as 59105344 + 31181909056 = 7688^2 + 176584^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 842654 + ... + 878946.

Almost surely, 2^31241014400 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 31241014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38732049450).

31241014400 is an abundant number, since it is smaller than the sum of its proper divisors (46223084500).

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

31241014400 is a wasteful number, since it uses less digits than its factorization.

31241014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36586 (or 36569 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 31241014400 its reverse (441014213), we get a palindrome (31682028613).

The spelling of 31241014400 in words is "thirty-one billion, two hundred forty-one million, fourteen thousand, four hundred".