457125134618880 has 5760 divisors, whose sum is σ = 2239495156039680. Its totient is φ = 86323125288960.

The previous prime is 457125134618869. The next prime is 457125134618897. The reversal of 457125134618880 is 88816431521754.

457125134618880 is a `hidden beast` number, since 4 + 5 + 7 + 1 + 2 + 5 + 1 + 3 + 4 + 618 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 238957204804 + ... + 238957206716.

It is an arithmetic number, because the mean of its divisors is an integer number (388801242368).

Almost surely, 2^{457125134618880} is an apocalyptic number.

457125134618880 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 457125134618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119747578019840).

457125134618880 is an abundant number, since it is smaller than the sum of its proper divisors (1782370021420800).

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

457125134618880 is a wasteful number, since it uses less digits than its factorization.

457125134618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 457125134618880 in words is "four hundred fifty-seven trillion, one hundred twenty-five billion, one hundred thirty-four million, six hundred eighteen thousand, eight hundred eighty".