338575128540 has 192 divisors, whose sum is σ = 1069216727040. Its totient is φ = 79307424000.

The previous prime is 338575128487. The next prime is 338575128583. The reversal of 338575128540 is 45821575833.

It is a happy number.

It is a super-2 number, since 2×338575128540² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13470585 + ... + 13495695.

It is an arithmetic number, because the mean of its divisors is an integer number (5568837120).

Almost surely, 2^338575128540 is an apocalyptic number.

338575128540 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 338575128540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534608363520).

338575128540 is an abundant number, since it is smaller than the sum of its proper divisors (730641598500).

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

338575128540 is a wasteful number, since it uses less digits than its factorization.

338575128540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25824 (or 25822 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 51.

The spelling of 338575128540 in words is "three hundred thirty-eight billion, five hundred seventy-five million, one hundred twenty-eight thousand, five hundred forty".