342289221120 has 1280 divisors, whose sum is σ = 1538361538560. Its totient is φ = 70071091200.

The previous prime is 342289221101. The next prime is 342289221151. The reversal of 342289221120 is 21122982243.

It is a happy number.

342289221120 is a `hidden beast` number, since 3 + 422 + 8 + 9 + 221 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 388523080 + ... + 388523960.

It is an arithmetic number, because the mean of its divisors is an integer number (1201844952).

Almost surely, 2^342289221120 is an apocalyptic number.

342289221120 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 342289221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769180769280).

342289221120 is an abundant number, since it is smaller than the sum of its proper divisors (1196072317440).

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

342289221120 is a wasteful number, since it uses less digits than its factorization.

342289221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 342289221120 in words is "three hundred forty-two billion, two hundred eighty-nine million, two hundred twenty-one thousand, one hundred twenty".