458168000640 has 384 divisors, whose sum is σ = 1709720654400. Its totient is φ = 104053727232.

The previous prime is 458168000627. The next prime is 458168000663. The reversal of 458168000640 is 46000861854.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 458168000592 and 458168000601.

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, 14755051 + ... + 14786069.

Almost surely, 2^458168000640 is an apocalyptic number.

458168000640 is a gapful number since it is divisible by the number (40) 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 458168000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854860327200).

458168000640 is an abundant number, since it is smaller than the sum of its proper divisors (1251552653760).

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

458168000640 is a wasteful number, since it uses less digits than its factorization.

458168000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31212 (or 31193 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 458168000640 in words is "four hundred fifty-eight billion, one hundred sixty-eight million, six hundred forty", and thus it is an aban number.