31406324400 has 450 divisors, whose sum is σ = 123908568476. Its totient is φ = 7612704000.

The previous prime is 31406324381. The next prime is 31406324461. The reversal of 31406324400 is 442360413.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3916395 + ... + 3924405.

Almost surely, 2^31406324400 is an apocalyptic number.

31406324400 is a gapful number since it is divisible by the number (30) 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 31406324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61954284238).

31406324400 is an abundant number, since it is smaller than the sum of its proper divisors (92502244076).

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

31406324400 is a wasteful number, since it uses less digits than its factorization.

31406324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8063 (or 8032 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31406324400 its reverse (442360413), we get a palindrome (31848684813).

The spelling of 31406324400 in words is "thirty-one billion, four hundred six million, three hundred twenty-four thousand, four hundred".