11838496631940 has 1536 divisors, whose sum is σ = 44380090460160. Its totient is φ = 2609418240000.

The previous prime is 11838496631869. The next prime is 11838496631971. The reversal of 11838496631940 is 4913669483811.

11838496631940 is a `hidden beast` number, since 1 + 1 + 8 + 38 + 496 + 63 + 19 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 65406058650 + ... + 65406058830.

It is an arithmetic number, because the mean of its divisors is an integer number (28893288060).

Almost surely, 2^{11838496631940} is an apocalyptic number.

11838496631940 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 11838496631940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22190045230080).

11838496631940 is an abundant number, since it is smaller than the sum of its proper divisors (32541593828220).

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

11838496631940 is a wasteful number, since it uses less digits than its factorization.

11838496631940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 11838496631940 in words is "eleven trillion, eight hundred thirty-eight billion, four hundred ninety-six million, six hundred thirty-one thousand, nine hundred forty".