338316733440 has 1056 divisors, whose sum is σ = 1434694809600. Its totient is φ = 71953809408.

The previous prime is 338316733421. The next prime is 338316733483. The reversal of 338316733440 is 44337613833.

It is a super-2 number, since 2×338316733440² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 564802261 + ... + 564802859.

Almost surely, 2^338316733440 is an apocalyptic number.

338316733440 is a gapful number since it is divisible by the number (30) 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 338316733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717347404800).

338316733440 is an abundant number, since it is smaller than the sum of its proper divisors (1096378076160).

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

338316733440 is a wasteful number, since it uses less digits than its factorization.

338316733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 338316733440 in words is "three hundred thirty-eight billion, three hundred sixteen million, seven hundred thirty-three thousand, four hundred forty".