338816515440 has 320 divisors, whose sum is σ = 1165532651136. Its totient is φ = 80879026176.

The previous prime is 338816515381. The next prime is 338816515441. The reversal of 338816515440 is 44515618833.

It is a super-2 number, since 2×338816515440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 338816515440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338816515441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36128032 + ... + 36137408.

Almost surely, 2^338816515440 is an apocalyptic number.

338816515440 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 338816515440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582766325568).

338816515440 is an abundant number, since it is smaller than the sum of its proper divisors (826716135696).

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

338816515440 is a wasteful number, since it uses less digits than its factorization.

338816515440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9756 (or 9750 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 338816515440 in words is "three hundred thirty-eight billion, eight hundred sixteen million, five hundred fifteen thousand, four hundred forty".