231022010014400 has 336 divisors, whose sum is σ = 635854779689472. Its totient is φ = 81892953600000.

The previous prime is 231022010014319. The next prime is 231022010014423. The reversal of 231022010014400 is 4410010220132.

It is a super-2 number, since 2×231022010014400² (a number of 30 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 207070862 + ... + 208183538.

It is an arithmetic number, because the mean of its divisors is an integer number (1892424939552).

Almost surely, 2^{231022010014400} is an apocalyptic number.

231022010014400 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 231022010014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317927389844736).

231022010014400 is an abundant number, since it is smaller than the sum of its proper divisors (404832769675072).

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

231022010014400 is a wasteful number, since it uses less digits than its factorization.

231022010014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113008 (or 1112993 counting only the distinct ones).

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

Adding to 231022010014400 its reverse (4410010220132), we get a palindrome (235432020234532).

The spelling of 231022010014400 in words is "two hundred thirty-one trillion, twenty-two billion, ten million, fourteen thousand, four hundred".