342120286126080 has 3168 divisors, whose sum is σ = 1563123446801280. Its totient is φ = 67235028664320.

The previous prime is 342120286125953. The next prime is 342120286126121. The reversal of 342120286126080 is 80621682021243.

342120286126080 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 2 + 0 + 28 + 6 + 12 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3844048158676 + ... + 3844048158764.

Almost surely, 2^{342120286126080} is an apocalyptic number.

342120286126080 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 342120286126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781561723400640).

342120286126080 is an abundant number, since it is smaller than the sum of its proper divisors (1221003160675200).

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

342120286126080 is an frugal number, since it uses more digits than its factorization.

342120286126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 342120286126080 in words is "three hundred forty-two trillion, one hundred twenty billion, two hundred eighty-six million, one hundred twenty-six thousand, eighty".