458142004440 has 48 divisors (see below), whose sum is σ = 1488961515600. Its totient is φ = 122171201088.

The previous prime is 458142004433. The next prime is 458142004451. The reversal of 458142004440 is 44400241854.

458142004440 is a `hidden beast` number, since 4 + 5 + 8 + 1 + 4 + 200 + 4 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 458142004395 and 458142004404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 636307980 + ... + 636308699.

It is an arithmetic number, because the mean of its divisors is an integer number (31020031575).

Almost surely, 2^458142004440 is an apocalyptic number.

458142004440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

458142004440 is an abundant number, since it is smaller than the sum of its proper divisors (1030819511160).

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

458142004440 is a wasteful number, since it uses less digits than its factorization.

458142004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272616696 (or 1272616689 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 458142004440 in words is "four hundred fifty-eight billion, one hundred forty-two million, four thousand, four hundred forty".