11642000400 has 600 divisors, whose sum is σ = 44026777344. Its totient is φ = 2942438400.

The previous prime is 11642000399. The next prime is 11642000407. The reversal of 11642000400 is 400024611.

11642000400 is a `hidden beast` number, since 1 + 1 + 64 + 200 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11642000407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67294714 + ... + 67294886.

Almost surely, 2^11642000400 is an apocalyptic number.

11642000400 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 11642000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22013388672).

11642000400 is an abundant number, since it is smaller than the sum of its proper divisors (32384776944).

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

11642000400 is a wasteful number, since it uses less digits than its factorization.

11642000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 11642000400 in words is "eleven billion, six hundred forty-two million, four hundred", and thus it is an aban number.