1457397004464 has 320 divisors, whose sum is σ = 4313668193280. Its totient is φ = 470902947840.

The previous prime is 1457397004439. The next prime is 1457397004477. The reversal of 1457397004464 is 4644007937541.

1457397004464 is a `hidden beast` number, since 1 + 4 + 573 + 9 + 7 + 0 + 0 + 4 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1457397004464.

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 63 ways as a sum of consecutive naturals, for example, 1413575629 + ... + 1413576659.

It is an arithmetic number, because the mean of its divisors is an integer number (13480213104).

Almost surely, 2^{1457397004464} 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 1457397004464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156834096640).

1457397004464 is an abundant number, since it is smaller than the sum of its proper divisors (2856271188816).

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

1457397004464 is a wasteful number, since it uses less digits than its factorization.

1457397004464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 1457397004464 in words is "one trillion, four hundred fifty-seven billion, three hundred ninety-seven million, four thousand, four hundred sixty-four".