1282057998400 has 63 divisors (see below), whose sum is σ = 3154775410909. Its totient is φ = 512805082880.

The previous prime is 1282057998373. The next prime is 1282057998479. The reversal of 1282057998400 is 48997502821.

The square root of 1282057998400 is 1132280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 461540879424 + 820517118976 = 679368^2 + 905824^2 .

It is a super-2 number, since 2×1282057998400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45277047 + ... + 45305353.

Almost surely, 2^{1282057998400} is an apocalyptic number.

1282057998400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1282057998400 is the 1132280-th square number.

It is an amenable number.

1282057998400 is an abundant number, since it is smaller than the sum of its proper divisors (1872717412509).

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

1282057998400 is an frugal number, since it uses more digits than its factorization.

1282057998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56636 (or 28314 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 1282057998400 in words is "one trillion, two hundred eighty-two billion, fifty-seven million, nine hundred ninety-eight thousand, four hundred".