3142344142400 has 168 divisors, whose sum is σ = 7863162100416. Its totient is φ = 1235659622400.

The previous prime is 3142344142391. The next prime is 3142344142417. The reversal of 3142344142400 is 42414432413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203683487 + ... + 203698913.

It is an arithmetic number, because the mean of its divisors is an integer number (46804536312).

Almost surely, 2^{3142344142400} 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 3142344142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931581050208).

3142344142400 is an abundant number, since it is smaller than the sum of its proper divisors (4720817958016).

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

3142344142400 is a wasteful number, since it uses less digits than its factorization.

3142344142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17597 (or 17582 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 3142344142400 its reverse (42414432413), we get a palindrome (3184758574813).

The spelling of 3142344142400 in words is "three trillion, one hundred forty-two billion, three hundred forty-four million, one hundred forty-two thousand, four hundred".