342401463360000 has 3600 divisors, whose sum is σ = 1422782930272704. Its totient is φ = 82114560000000.

The previous prime is 342401463359981. The next prime is 342401463360041. The reversal of 342401463360000 is 63364104243.

342401463360000 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 0 + 1 + 46 + 3 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×342401463360000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1420752959880 + ... + 1420752960120.

Almost surely, 2^{342401463360000} is an apocalyptic number.

342401463360000 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 342401463360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711391465136352).

342401463360000 is an abundant number, since it is smaller than the sum of its proper divisors (1080381466912704).

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

342401463360000 is an equidigital number, since it uses as much as digits as its factorization.

342401463360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 342401463360000 in words is "three hundred forty-two trillion, four hundred one billion, four hundred sixty-three million, three hundred sixty thousand".