342801815040000 has 2080 divisors, whose sum is σ = 1310599170017280. Its totient is φ = 88451481600000.

The previous prime is 342801815039989. The next prime is 342801815040053. The reversal of 342801815040000 is 40518108243.

342801815040000 is a `hidden beast` number, since 3 + 4 + 28 + 0 + 181 + 50 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 795363839785 + ... + 795363840215.

It is an arithmetic number, because the mean of its divisors is an integer number (630095754816).

Almost surely, 2^{342801815040000} is an apocalyptic number.

342801815040000 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 342801815040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655299585008640).

342801815040000 is an abundant number, since it is smaller than the sum of its proper divisors (967797354977280).

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

342801815040000 is an equidigital number, since it uses as much as digits as its factorization.

342801815040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 342801815040000 in words is "three hundred forty-two trillion, eight hundred one billion, eight hundred fifteen million, forty thousand".