11745042800400 has 4800 divisors, whose sum is σ = 57771705040896. Its totient is φ = 2217093120000.

The previous prime is 11745042800341. The next prime is 11745042800401. The reversal of 11745042800400 is 400824054711.

It is a happy number.

11745042800400 is a `hidden beast` number, since 1 + 1 + 74 + 504 + 2 + 80 + 0 + 4 + 0 + 0 = 666.

11745042800400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11745042800401) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 77781740325 + ... + 77781740475.

Almost surely, 2^{11745042800400} is an apocalyptic number.

11745042800400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11745042800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28885852520448).

11745042800400 is an abundant number, since it is smaller than the sum of its proper divisors (46026662240496).

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

11745042800400 is a wasteful number, since it uses less digits than its factorization.

11745042800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 11745042800400 in words is "eleven trillion, seven hundred forty-five billion, forty-two million, eight hundred thousand, four hundred".