1072458878400 has 672 divisors, whose sum is σ = 4811722030080. Its totient is φ = 226276208640.

The previous prime is 1072458878371. The next prime is 1072458878417. The reversal of 1072458878400 is 48788542701.

1072458878400 is a `hidden beast` number, since 1 + 0 + 72 + 458 + 87 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3794797 + ... + 4067603.

It is an arithmetic number, because the mean of its divisors is an integer number (7160300640).

Almost surely, 2^{1072458878400} is an apocalyptic number.

1072458878400 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 1072458878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405861015040).

1072458878400 is an abundant number, since it is smaller than the sum of its proper divisors (3739263151680).

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

1072458878400 is a wasteful number, since it uses less digits than its factorization.

1072458878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272858 (or 272837 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 1072458878400 in words is "one trillion, seventy-two billion, four hundred fifty-eight million, eight hundred seventy-eight thousand, four hundred".