11453280400 has 45 divisors (see below), whose sum is σ = 27521649433. Its totient is φ = 4580456000.

The previous prime is 11453280379. The next prime is 11453280431. The reversal of 11453280400 is 408235411.

The square root of 11453280400 is 107020.

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., 4123180944 + 7330099456 = 64212^2 + 85616^2 .

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, 2137725 + ... + 2143075.

Almost surely, 2^11453280400 is an apocalyptic number.

11453280400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11453280400 is the 107020-th square number.

It is an amenable number.

11453280400 is an abundant number, since it is smaller than the sum of its proper divisors (16068369033).

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

11453280400 is an frugal number, since it uses more digits than its factorization.

11453280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10720 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 11453280400 in words is "eleven billion, four hundred fifty-three million, two hundred eighty thousand, four hundred".