3105142400000 has 528 divisors, whose sum is σ = 8013492103680. Its totient is φ = 1202073600000.

The previous prime is 3105142399951. The next prime is 3105142400021. The reversal of 3105142400000 is 42415013.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 17948799914 + ... + 17948800086.

Almost surely, 2^{3105142400000} 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 3105142400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006746051840).

3105142400000 is an abundant number, since it is smaller than the sum of its proper divisors (4908349703680).

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

3105142400000 is an frugal number, since it uses more digits than its factorization.

3105142400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 3105142400000 its reverse (42415013), we get a palindrome (3105184815013).

The spelling of 3105142400000 in words is "three trillion, one hundred five billion, one hundred forty-two million, four hundred thousand".