342221342030400 has 336 divisors, whose sum is σ = 1283645666530304. Its totient is φ = 78192845752320.

The previous prime is 342221342030387. The next prime is 342221342030417. The reversal of 342221342030400 is 4030243122243.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 88250709 + ... + 92046891.

Almost surely, 2^{342221342030400} is an apocalyptic number.

342221342030400 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 342221342030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641822833265152).

342221342030400 is an abundant number, since it is smaller than the sum of its proper divisors (941424324499904).

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

342221342030400 is a wasteful number, since it uses less digits than its factorization.

342221342030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798898 (or 3798883 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 342221342030400 its reverse (4030243122243), we get a palindrome (346251585152643).

The spelling of 342221342030400 in words is "three hundred forty-two trillion, two hundred twenty-one billion, three hundred forty-two million, thirty thousand, four hundred".