342126817941120 has 256 divisors, whose sum is σ = 1148026300416000. Its totient is φ = 86424449126400.

The previous prime is 342126817941119. The next prime is 342126817941149. The reversal of 342126817941120 is 21149718621243.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420974521 + ... + 421786439.

It is an arithmetic number, because the mean of its divisors is an integer number (4484477736000).

Almost surely, 2^{342126817941120} is an apocalyptic number.

342126817941120 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 342126817941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574013150208000).

342126817941120 is an abundant number, since it is smaller than the sum of its proper divisors (805899482474880).

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

342126817941120 is a wasteful number, since it uses less digits than its factorization.

342126817941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823511 (or 823499 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 342126817941120 in words is "three hundred forty-two trillion, one hundred twenty-six billion, eight hundred seventeen million, nine hundred forty-one thousand, one hundred twenty".