342420200400 has 120 divisors (see below), whose sum is σ = 1144576831680. Its totient is φ = 87341957120.

The previous prime is 342420200399. The next prime is 342420200411. The reversal of 342420200400 is 4002024243.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6175665 + ... + 6230864.

It is an arithmetic number, because the mean of its divisors is an integer number (9538140264).

Almost surely, 2^342420200400 is an apocalyptic number.

342420200400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342420200400 is an abundant number, since it is smaller than the sum of its proper divisors (802156631280).

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

342420200400 is a wasteful number, since it uses less digits than its factorization.

342420200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12406573 (or 12406562 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 342420200400 its reverse (4002024243), we get a palindrome (346422224643).

The spelling of 342420200400 in words is "three hundred forty-two billion, four hundred twenty million, two hundred thousand, four hundred".