11728433102400 has 1701 divisors, whose sum is σ = 50689611065457. Its totient is φ = 2663031168000.

The previous prime is 11728433102363. The next prime is 11728433102411. The reversal of 11728433102400 is 420133482711.

The square root of 11728433102400 is 3424680.

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

11728433102400 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 84 + 331 + 0 + 240 + 0 = 666.

11728433102400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4222235916864 + 7506197185536 = 2054808^2 + 2739744^2 .

It is a tau number, because it is divible by the number of its divisors (1701).

It is a super-2 number, since 2×11728433102400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 77671742325 + ... + 77671742475.

Almost surely, 2^{11728433102400} is an apocalyptic number.

11728433102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11728433102400 is the 3424680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11728433102400

11728433102400 is an abundant number, since it is smaller than the sum of its proper divisors (38961177963057).

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

11728433102400 is an frugal number, since it uses more digits than its factorization.

11728433102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 11728433102400 by its sum of digits (36), we get a square (422223591686400 = 20548080²).

11728433102400 divided by its sum of digits (36) gives a square (325789808400 = 570780²).

The spelling of 11728433102400 in words is "eleven trillion, seven hundred twenty-eight billion, four hundred thirty-three million, one hundred two thousand, four hundred".