11381409792 has 480 divisors, whose sum is σ = 37578340800. Its totient is φ = 3415965696.

The previous prime is 11381409791. The next prime is 11381409797. The reversal of 11381409792 is 29790418311.

It is not an unprimeable number, because it can be changed into a prime (11381409791) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72492978 + ... + 72493134.

It is an arithmetic number, because the mean of its divisors is an integer number (78288210).

Almost surely, 2^11381409792 is an apocalyptic number.

11381409792 is a gapful number since it is divisible by the number (12) 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 11381409792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18789170400).

11381409792 is an abundant number, since it is smaller than the sum of its proper divisors (26196931008).

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

11381409792 is a wasteful number, since it uses less digits than its factorization.

11381409792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 11381409792 in words is "eleven billion, three hundred eighty-one million, four hundred nine thousand, seven hundred ninety-two".