11838040290 has 96 divisors (see below), whose sum is σ = 31836744576. Its totient is φ = 3049816320.

The previous prime is 11838040289. The next prime is 11838040351. The reversal of 11838040290 is 9204083811.

11838040290 is a `hidden beast` number, since 11 + 83 + 80 + 402 + 90 = 666.

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, 364497 + ... + 395643.

It is an arithmetic number, because the mean of its divisors is an integer number (331632756).

Almost surely, 2^11838040290 is an apocalyptic number.

11838040290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11838040290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918372288).

11838040290 is an abundant number, since it is smaller than the sum of its proper divisors (19998704286).

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

11838040290 is a wasteful number, since it uses less digits than its factorization.

11838040290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31304 (or 31301 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11838040290 in words is "eleven billion, eight hundred thirty-eight million, forty thousand, two hundred ninety".