1456128000 has 360 divisors, whose sum is σ = 5316118080. Its totient is φ = 383385600.

The previous prime is 1456127993. The next prime is 1456128031. The reversal of 1456128000 is 8216541.

1456128000 is a `hidden beast` number, since 1 + 45 + 612 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18431961 + ... + 18432039.

Almost surely, 2^1456128000 is an apocalyptic number.

1456128000 is a gapful number since it is divisible by the number (10) 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 1456128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658059040).

1456128000 is an abundant number, since it is smaller than the sum of its proper divisors (3859990080).

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

1456128000 is an frugal number, since it uses more digits than its factorization.

1456128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1456128000 is about 38159.2452755554. The cubic root of 1456128000 is about 1133.4434341325.

The spelling of 1456128000 in words is "one billion, four hundred fifty-six million, one hundred twenty-eight thousand".