11142337010400 has 648 divisors, whose sum is σ = 40829186296080. Its totient is φ = 2859179581440.

The previous prime is 11142337010383. The next prime is 11142337010411. The reversal of 11142337010400 is 401073324111.

11142337010400 is a `hidden beast` number, since 1 + 1 + 14 + 233 + 7 + 0 + 10 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1895274661 + ... + 1895280539.

Almost surely, 2^{11142337010400} is an apocalyptic number.

11142337010400 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 11142337010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20414593148040).

11142337010400 is an abundant number, since it is smaller than the sum of its proper divisors (29686849285680).

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

11142337010400 is a wasteful number, since it uses less digits than its factorization.

11142337010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6276 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11142337010400 in words is "eleven trillion, one hundred forty-two billion, three hundred thirty-seven million, ten thousand, four hundred".