338030742640 has 40 divisors (see below), whose sum is σ = 795869864640. Its totient is φ = 133500746496.

The previous prime is 338030742617. The next prime is 338030742659. The reversal of 338030742640 is 46247030833.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×338030742640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 338030742593 and 338030742602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26736619 + ... + 26749258.

It is an arithmetic number, because the mean of its divisors is an integer number (19896746616).

Almost surely, 2^338030742640 is an apocalyptic number.

It is an amenable number.

338030742640 is an abundant number, since it is smaller than the sum of its proper divisors (457839122000).

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

338030742640 is a wasteful number, since it uses less digits than its factorization.

338030742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53485969 (or 53485963 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 338030742640 in words is "three hundred thirty-eight billion, thirty million, seven hundred forty-two thousand, six hundred forty".