338060741200 has 720 divisors, whose sum is σ = 1061702713344. Its totient is φ = 102419251200.

The previous prime is 338060741197. The next prime is 338060741219. The reversal of 338060741200 is 2147060833.

It is a happy number.

It is a super-2 number, since 2×338060741200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1003147432 + ... + 1003147768.

Almost surely, 2^338060741200 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 338060741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530851356672).

338060741200 is an abundant number, since it is smaller than the sum of its proper divisors (723641972144).

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

338060741200 is a wasteful number, since it uses less digits than its factorization.

338060741200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 338060741200 in words is "three hundred thirty-eight billion, sixty million, seven hundred forty-one thousand, two hundred".