1018847984400 has 135 divisors (see below), whose sum is σ = 3535895701429. Its totient is φ = 271676645760.

The previous prime is 1018847984359. The next prime is 1018847984417. The reversal of 1018847984400 is 44897488101.

The square root of 1018847984400 is 1009380.

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

1018847984400 is a `hidden beast` number, since 1 + 0 + 18 + 84 + 79 + 84 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 366785274384 + 652062710016 = 605628^2 + 807504^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60554389 + ... + 60571211.

Almost surely, 2^{1018847984400} is an apocalyptic number.

1018847984400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1018847984400 is the 1009380-th square number.

It is an amenable number.

1018847984400 is an abundant number, since it is smaller than the sum of its proper divisors (2517047717029).

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

1018847984400 is an frugal number, since it uses more digits than its factorization.

1018847984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33670 (or 16833 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 1018847984400 in words is "one trillion, eighteen billion, eight hundred forty-seven million, nine hundred eighty-four thousand, four hundred".