342494436480 has 256 divisors, whose sum is σ = 1248186240000. Its totient is φ = 78251323392.

The previous prime is 342494436451. The next prime is 342494436509. The reversal of 342494436480 is 84634494243.

It is an interprime number because it is at equal distance from previous prime (342494436451) and next prime (342494436509).

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, 47022919 + ... + 47030201.

It is an arithmetic number, because the mean of its divisors is an integer number (4875727500).

Almost surely, 2^342494436480 is an apocalyptic number.

342494436480 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 342494436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624093120000).

342494436480 is an abundant number, since it is smaller than the sum of its proper divisors (905691803520).

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

342494436480 is a wasteful number, since it uses less digits than its factorization.

342494436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10811 (or 10799 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 51.

The spelling of 342494436480 in words is "three hundred forty-two billion, four hundred ninety-four million, four hundred thirty-six thousand, four hundred eighty".