3105142040000 has 560 divisors, whose sum is σ = 10338249901056. Its totient is φ = 893376000000.

The previous prime is 3105142039949. The next prime is 3105142040003. The reversal of 3105142040000 is 402415013.

3105142040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3105142040003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40001225 + ... + 40078775.

Almost surely, 2^{3105142040000} 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 3105142040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169124950528).

3105142040000 is an abundant number, since it is smaller than the sum of its proper divisors (7233107861056).

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

3105142040000 is a wasteful number, since it uses less digits than its factorization.

3105142040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77614 (or 77589 counting only the distinct ones).

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

Adding to 3105142040000 its reverse (402415013), we get a palindrome (3105544455013).

The spelling of 3105142040000 in words is "three trillion, one hundred five billion, one hundred forty-two million, forty thousand".