3142135825920 has 1200 divisors, whose sum is σ = 13928439460320. Its totient is φ = 662904373248.

The previous prime is 3142135825903. The next prime is 3142135825973. The reversal of 3142135825920 is 295285312413.

3142135825920 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 1 + 3 + 58 + 2 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 245300476 + ... + 245313284.

Almost surely, 2^{3142135825920} is an apocalyptic number.

3142135825920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142135825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964219730160).

3142135825920 is an abundant number, since it is smaller than the sum of its proper divisors (10786303634400).

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

3142135825920 is a wasteful number, since it uses less digits than its factorization.

3142135825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12877 (or 12839 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 3142135825920 in words is "three trillion, one hundred forty-two billion, one hundred thirty-five million, eight hundred twenty-five thousand, nine hundred twenty".