338025723040 has 96 divisors (see below), whose sum is σ = 806319750096. Its totient is φ = 133902827520.

The previous prime is 338025723029. The next prime is 338025723047. The reversal of 338025723040 is 40327520833.

It can be written as a sum of positive squares in 8 ways, for example, as 102556219536 + 235469503504 = 320244^2 + 485252^2 .

It is a super-2 number, since 2×338025723040² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338025723047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23876604 + ... + 23890756.

Almost surely, 2^338025723040 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 338025723040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403159875048).

338025723040 is an abundant number, since it is smaller than the sum of its proper divisors (468294027056).

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

338025723040 is a wasteful number, since it uses less digits than its factorization.

338025723040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15602 (or 15594 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 338025723040 in words is "three hundred thirty-eight billion, twenty-five million, seven hundred twenty-three thousand, forty".