11601431400 has 384 divisors, whose sum is σ = 40491158400. Its totient is φ = 2728857600.

The previous prime is 11601431399. The next prime is 11601431417. The reversal of 11601431400 is 413410611.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17604271 + ... + 17604929.

It is an arithmetic number, because the mean of its divisors is an integer number (105445725).

Almost surely, 2^11601431400 is an apocalyptic number.

11601431400 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 11601431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20245579200).

11601431400 is an abundant number, since it is smaller than the sum of its proper divisors (28889727000).

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

11601431400 is a wasteful number, since it uses less digits than its factorization.

11601431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 11601431400 in words is "eleven billion, six hundred one million, four hundred thirty-one thousand, four hundred".