31412213870400 has 504 divisors, whose sum is σ = 122012780351904. Its totient is φ = 7601534668800.

The previous prime is 31412213870393. The next prime is 31412213870423. The reversal of 31412213870400 is 407831221413.

31412213870400 is a `hidden beast` number, since 3 + 1 + 412 + 2 + 138 + 70 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89003082 + ... + 89355318.

Almost surely, 2^{31412213870400} is an apocalyptic number.

31412213870400 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 31412213870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61006390175952).

31412213870400 is an abundant number, since it is smaller than the sum of its proper divisors (90600566481504).

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

31412213870400 is a wasteful number, since it uses less digits than its factorization.

31412213870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352839 (or 352821 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 31412213870400 in words is "thirty-one trillion, four hundred twelve billion, two hundred thirteen million, eight hundred seventy thousand, four hundred".