342210414400 has 84 divisors (see below), whose sum is σ = 844465633900. Its totient is φ = 136491724800.

The previous prime is 342210414389. The next prime is 342210414401. The reversal of 342210414400 is 4414012243.

It can be written as a sum of positive squares in 6 ways, for example, as 12881342016 + 329329072384 = 113496^2 + 573872^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342210414401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251980 + ... + 864820.

Almost surely, 2^342210414400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342210414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422232816950).

342210414400 is an abundant number, since it is smaller than the sum of its proper divisors (502255219500).

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

342210414400 is a wasteful number, since it uses less digits than its factorization.

342210414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613212 (or 613197 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 342210414400 its reverse (4414012243), we get a palindrome (346624426643).

The spelling of 342210414400 in words is "three hundred forty-two billion, two hundred ten million, four hundred fourteen thousand, four hundred".