1162342734400 has 63 divisors (see below), whose sum is σ = 2860195708731. Its totient is φ = 464919843840.

The previous prime is 1162342734379. The next prime is 1162342734433. The reversal of 1162342734400 is 44372432611.

The square root of 1162342734400 is 1078120.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2913408576 + 1159429325824 = 53976^2 + 1076768^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1162342734400.

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, 43111324 + ... + 43138276.

Almost surely, 2^{1162342734400} is an apocalyptic number.

1162342734400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1162342734400 is the 1078120-th square number.

It is an amenable number.

1162342734400 is an abundant number, since it is smaller than the sum of its proper divisors (1697852974331).

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

1162342734400 is an frugal number, since it uses more digits than its factorization.

1162342734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53928 (or 26960 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 1162342734400 in words is "one trillion, one hundred sixty-two billion, three hundred forty-two million, seven hundred thirty-four thousand, four hundred".