342140222400 has 336 divisors, whose sum is σ = 1152300057600. Its totient is φ = 88835788800.

The previous prime is 342140222399. The next prime is 342140222441. The reversal of 342140222400 is 4222041243.

342140222400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44890590 + ... + 44898210.

Almost surely, 2^342140222400 is an apocalyptic number.

342140222400 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 342140222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576150028800).

342140222400 is an abundant number, since it is smaller than the sum of its proper divisors (810159835200).

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

342140222400 is a wasteful number, since it uses less digits than its factorization.

342140222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7892 (or 7877 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 342140222400 its reverse (4222041243), we get a palindrome (346362263643).

The spelling of 342140222400 in words is "three hundred forty-two billion, one hundred forty million, two hundred twenty-two thousand, four hundred".