457023759272640 has 252 divisors, whose sum is σ = 1828619682276816. Its totient is φ = 104462573515776.

The previous prime is 457023759272557. The next prime is 457023759272669. The reversal of 457023759272640 is 46272957320754.

It is a happy number.

457023759272640 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 2 + 37 + 592 + 7 + 2 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 35 ways as a sum of consecutive naturals, for example, 1619132404 + ... + 1619414643.

Almost surely, 2^{457023759272640} is an apocalyptic number.

457023759272640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457023759272640 is an abundant number, since it is smaller than the sum of its proper divisors (1371595923004176).

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

457023759272640 is a wasteful number, since it uses less digits than its factorization.

457023759272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238547084 (or 3238547064 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 457023759272640 in words is "four hundred fifty-seven trillion, twenty-three billion, seven hundred fifty-nine million, two hundred seventy-two thousand, six hundred forty".