342142877260800 has 5346 divisors, whose sum is σ = 1621905663675024. Its totient is φ = 68628794572800.

The previous prime is 342142877260799. The next prime is 342142877260837. The reversal of 342142877260800 is 8062778241243.

342142877260800 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 4 + 28 + 7 + 7 + 2 + 608 + 0 + 0 = 666.

It is a super-2 number, since 2×342142877260800² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 485 ways as a sum of consecutive naturals, for example, 4686888729564 + ... + 4686888729636.

Almost surely, 2^{342142877260800} is an apocalyptic number.

342142877260800 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 342142877260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810952831837512).

342142877260800 is an abundant number, since it is smaller than the sum of its proper divisors (1279762786414224).

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

342142877260800 is a wasteful number, since it uses less digits than its factorization.

342142877260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 342142877260800 in words is "three hundred forty-two trillion, one hundred forty-two billion, eight hundred seventy-seven million, two hundred sixty thousand, eight hundred".