11811342400 has 567 divisors, whose sum is σ = 36508426983. Its totient is φ = 3755980800.

The previous prime is 11811342359. The next prime is 11811342463. The reversal of 11811342400 is 424311811.

The square root of 11811342400 is 108680.

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 3044390976 + 8766951424 = 55176^2 + 93632^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 621649591 + ... + 621649609.

Almost surely, 2^11811342400 is an apocalyptic number.

11811342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11811342400 is the 108680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11811342400

11811342400 is an abundant number, since it is smaller than the sum of its proper divisors (24697084583).

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

11811342400 is a wasteful number, since it uses less digits than its factorization.

11811342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Multiplying 11811342400 by its sum of digits (25), we get a square (295283560000 = 543400²).

11811342400 divided by its sum of digits (25) gives a square (472453696 = 21736²).

The spelling of 11811342400 in words is "eleven billion, eight hundred eleven million, three hundred forty-two thousand, four hundred".