11938406400 has 672 divisors, whose sum is σ = 46805575680. Its totient is φ = 2972712960.

The previous prime is 11938406393. The next prime is 11938406413. The reversal of 11938406400 is 460483911.

11938406400 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 8 + 4 + 0 + 640 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 94003137 + ... + 94003263.

Almost surely, 2^11938406400 is an apocalyptic number.

11938406400 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 11938406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23402787840).

11938406400 is an abundant number, since it is smaller than the sum of its proper divisors (34867169280).

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

11938406400 is a wasteful number, since it uses less digits than its factorization.

11938406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11938406400 in words is "eleven billion, nine hundred thirty-eight million, four hundred six thousand, four hundred".