457412720128 has 480 divisors, whose sum is σ = 1190440056960. Its totient is φ = 173903708160.

The previous prime is 457412720101. The next prime is 457412720131. The reversal of 457412720128 is 821027214754.

It is a congruent number.

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, 1056380200 + ... + 1056380632.

It is an arithmetic number, because the mean of its divisors is an integer number (2480083452).

Almost surely, 2^457412720128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457412720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595220028480).

457412720128 is an abundant number, since it is smaller than the sum of its proper divisors (733027336832).

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

457412720128 is a wasteful number, since it uses less digits than its factorization.

457412720128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 43.

The spelling of 457412720128 in words is "four hundred fifty-seven billion, four hundred twelve million, seven hundred twenty thousand, one hundred twenty-eight".