338968013440 has 192 divisors, whose sum is σ = 992261426400. Its totient is φ = 110100695040.

The previous prime is 338968013411. The next prime is 338968013507. The reversal of 338968013440 is 44310869833.

It is a super-2 number, since 2×338968013440² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311395 + ... + 880285.

Almost surely, 2^338968013440 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 338968013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496130713200).

338968013440 is an abundant number, since it is smaller than the sum of its proper divisors (653293412960).

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

338968013440 is a wasteful number, since it uses less digits than its factorization.

338968013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568943 (or 568924 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

The spelling of 338968013440 in words is "three hundred thirty-eight billion, nine hundred sixty-eight million, thirteen thousand, four hundred forty".