1150406404900 has 81 divisors (see below), whose sum is σ = 2511861763761. Its totient is φ = 457326686880.

The previous prime is 1150406404877. The next prime is 1150406404943. The reversal of 1150406404900 is 94046040511.

It is a happy number.

The square root of 1150406404900 is 1072570.

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., 414146305764 + 736260099136 = 643542^2 + 858056^2 .

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, 3035372911 + ... + 3035373289.

Almost surely, 2^{1150406404900} is an apocalyptic number.

1150406404900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1150406404900 is the 1072570-th square number.

It is an amenable number.

1150406404900 is an abundant number, since it is smaller than the sum of its proper divisors (1361455358861).

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

1150406404900 is an frugal number, since it uses more digits than its factorization.

1150406404900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 1150406404900 in words is "one trillion, one hundred fifty billion, four hundred six million, four hundred four thousand, nine hundred".