342125580000 has 240 divisors, whose sum is σ = 1132194094416. Its totient is φ = 90424320000.

The previous prime is 342125579963. The next prime is 342125580119. The reversal of 342125580000 is 85521243.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 342125580000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6754770 + ... + 6805230.

Almost surely, 2^342125580000 is an apocalyptic number.

342125580000 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 342125580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566097047208).

342125580000 is an abundant number, since it is smaller than the sum of its proper divisors (790068514416).

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

342125580000 is a wasteful number, since it uses less digits than its factorization.

342125580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50607 (or 50584 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 342125580000 in words is "three hundred forty-two billion, one hundred twenty-five million, five hundred eighty thousand".