11400631920 has 240 divisors, whose sum is σ = 40069316352. Its totient is φ = 2901381120.

The previous prime is 11400631897. The next prime is 11400631967. The reversal of 11400631920 is 2913600411.

11400631920 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 631 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 1625862 + ... + 1632858.

Almost surely, 2^11400631920 is an apocalyptic number.

11400631920 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 11400631920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034658176).

11400631920 is an abundant number, since it is smaller than the sum of its proper divisors (28668684432).

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

11400631920 is a wasteful number, since it uses less digits than its factorization.

11400631920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7120 (or 7111 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11400631920 in words is "eleven billion, four hundred million, six hundred thirty-one thousand, nine hundred twenty".