338881136440 has 192 divisors, whose sum is σ = 969492434400. Its totient is φ = 105419059200.

The previous prime is 338881136431. The next prime is 338881136443. The reversal of 338881136440 is 44631188833.

It is a super-2 number, since 2×338881136440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338881136443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11217676 + ... + 11247844.

Almost surely, 2^338881136440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338881136440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484746217200).

338881136440 is an abundant number, since it is smaller than the sum of its proper divisors (630611297960).

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

338881136440 is a wasteful number, since it uses less digits than its factorization.

338881136440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30726 (or 30715 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 338881136440 in words is "three hundred thirty-eight billion, eight hundred eighty-one million, one hundred thirty-six thousand, four hundred forty".