342414146880 has 448 divisors, whose sum is σ = 1377411194880. Its totient is φ = 79328083968.

The previous prime is 342414146861. The next prime is 342414146881. The reversal of 342414146880 is 88641414243.

342414146880 is a `hidden beast` number, since 3 + 42 + 4 + 141 + 468 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342414146881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1819777 + ... + 1999103.

It is an arithmetic number, because the mean of its divisors is an integer number (3074578560).

Almost surely, 2^342414146880 is an apocalyptic number.

342414146880 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 342414146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688705597440).

342414146880 is an abundant number, since it is smaller than the sum of its proper divisors (1034997048000).

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

342414146880 is a wasteful number, since it uses less digits than its factorization.

342414146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179383 (or 179367 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 342414146880 in words is "three hundred forty-two billion, four hundred fourteen million, one hundred forty-six thousand, eight hundred eighty".