457166779453440 has 3120 divisors, whose sum is σ = 1977139899947520. Its totient is φ = 100650115399680.

The previous prime is 457166779453343. The next prime is 457166779453511. The reversal of 457166779453440 is 44354977661754.

457166779453440 is a `hidden beast` number, since 4 + 5 + 7 + 1 + 6 + 67 + 79 + 4 + 53 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1055812423464 + ... + 1055812423896.

Almost surely, 2^{457166779453440} is an apocalyptic number.

457166779453440 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 457166779453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988569949973760).

457166779453440 is an abundant number, since it is smaller than the sum of its proper divisors (1519973120494080).

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

457166779453440 is a wasteful number, since it uses less digits than its factorization.

457166779453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 2133734400, while the sum is 72.

The spelling of 457166779453440 in words is "four hundred fifty-seven trillion, one hundred sixty-six billion, seven hundred seventy-nine million, four hundred fifty-three thousand, four hundred forty".