342516907040 has 432 divisors, whose sum is σ = 1043176651776. Its totient is φ = 105880642560.

The previous prime is 342516907013. The next prime is 342516907063. The reversal of 342516907040 is 40709615243.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120475859 + ... + 120478701.

It is an arithmetic number, because the mean of its divisors is an integer number (2414760768).

Almost surely, 2^342516907040 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 342516907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521588325888).

342516907040 is an abundant number, since it is smaller than the sum of its proper divisors (700659744736).

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

342516907040 is a wasteful number, since it uses less digits than its factorization.

342516907040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 342516907040 in words is "three hundred forty-two billion, five hundred sixteen million, nine hundred seven thousand, forty".