11442636542400 has 336 divisors, whose sum is σ = 45428230907136. Its totient is φ = 2461609082880.

The previous prime is 11442636542371. The next prime is 11442636542401. The reversal of 11442636542400 is 424563624411.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442636542401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9445114 + ... + 10587513.

It is an arithmetic number, because the mean of its divisors is an integer number (135203068176).

Almost surely, 2^{11442636542400} is an apocalyptic number.

11442636542400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442636542400 is an abundant number, since it is smaller than the sum of its proper divisors (33985594364736).

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

11442636542400 is a wasteful number, since it uses less digits than its factorization.

11442636542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20032676 (or 20032661 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 11442636542400 in words is "eleven trillion, four hundred forty-two billion, six hundred thirty-six million, five hundred forty-two thousand, four hundred".