231420717662400 has 1344 divisors, whose sum is σ = 969376127385600. Its totient is φ = 52608956682240.

The previous prime is 231420717662371. The next prime is 231420717662423. The reversal of 231420717662400 is 4266717024132.

231420717662400 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 2 + 0 + 7 + 17 + 6 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79717779349 + ... + 79717782251.

Almost surely, 2^{231420717662400} is an apocalyptic number.

231420717662400 is a gapful number since it is divisible by the number (20) 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 231420717662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484688063692800).

231420717662400 is an abundant number, since it is smaller than the sum of its proper divisors (737955409723200).

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

231420717662400 is a wasteful number, since it uses less digits than its factorization.

231420717662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 231420717662400 in words is "two hundred thirty-one trillion, four hundred twenty billion, seven hundred seventeen million, six hundred sixty-two thousand, four hundred".