345201321442400 has 36 divisors (see below), whose sum is σ = 842722725973212. Its totient is φ = 138080528576640.

The previous prime is 345201321442381. The next prime is 345201321442477. The reversal of 345201321442400 is 4244123102543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215750825102 + ... + 215750826701.

It is an arithmetic number, because the mean of its divisors is an integer number (23408964610367).

Almost surely, 2^{345201321442400} is an apocalyptic number.

It is an amenable number.

345201321442400 is an abundant number, since it is smaller than the sum of its proper divisors (497521404530812).

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

345201321442400 is a wasteful number, since it uses less digits than its factorization.

345201321442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431501651823 (or 431501651810 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 345201321442400 its reverse (4244123102543), we get a palindrome (349445444544943).

The spelling of 345201321442400 in words is "three hundred forty-five trillion, two hundred one billion, three hundred twenty-one million, four hundred forty-two thousand, four hundred".