11396838240 has 192 divisors, whose sum is σ = 40738360320. Its totient is φ = 2974440960.

The previous prime is 11396838181. The next prime is 11396838251. The reversal of 11396838240 is 4283869311.

11396838240 is a `hidden beast` number, since 11 + 396 + 8 + 3 + 8 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174975 + ... + 231105.

It is an arithmetic number, because the mean of its divisors is an integer number (212178960).

Almost surely, 2^11396838240 is an apocalyptic number.

11396838240 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 11396838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20369180160).

11396838240 is an abundant number, since it is smaller than the sum of its proper divisors (29341522080).

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

11396838240 is a wasteful number, since it uses less digits than its factorization.

11396838240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56202 (or 56188 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11396838240 in words is "eleven billion, three hundred ninety-six million, eight hundred thirty-eight thousand, two hundred forty".