339909712122240 has 896 divisors, whose sum is σ = 1318929825185280. Its totient is φ = 83231736053760.

The previous prime is 339909712122191. The next prime is 339909712122259. The reversal of 339909712122240 is 42221217909933.

339909712122240 is a `hidden beast` number, since 3 + 39 + 90 + 9 + 71 + 212 + 2 + 240 = 666.

It is a super-2 number, since 2×339909712122240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1158321774 + ... + 1158615186.

It is an arithmetic number, because the mean of its divisors is an integer number (1472019894180).

Almost surely, 2^{339909712122240} is an apocalyptic number.

339909712122240 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 339909712122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659464912592640).

339909712122240 is an abundant number, since it is smaller than the sum of its proper divisors (979020113063040).

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

339909712122240 is a wasteful number, since it uses less digits than its factorization.

339909712122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293654 (or 293627 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 339909712122240 in words is "three hundred thirty-nine trillion, nine hundred nine billion, seven hundred twelve million, one hundred twenty-two thousand, two hundred forty".