31456742400 has 198 divisors, whose sum is σ = 112630844612. Its totient is φ = 8388403200.

The previous prime is 31456742333. The next prime is 31456742411. The reversal of 31456742400 is 424765413.

31456742400 is a `hidden beast` number, since 3 + 14 + 567 + 42 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 162135 + ... + 298665.

Almost surely, 2^31456742400 is an apocalyptic number.

31456742400 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 31456742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56315422306).

31456742400 is an abundant number, since it is smaller than the sum of its proper divisors (81174102212).

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

31456742400 is a wasteful number, since it uses less digits than its factorization.

31456742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136567 (or 136541 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 31456742400 in words is "thirty-one billion, four hundred fifty-six million, seven hundred forty-two thousand, four hundred".