3142083407820 has 144 divisors (see below), whose sum is σ = 10407676366080. Its totient is φ = 706017734016.

The previous prime is 3142083407819. The next prime is 3142083407831. The reversal of 3142083407820 is 287043802413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 8883624 + ... + 9230543.

It is an arithmetic number, because the mean of its divisors is an integer number (72275530320).

Almost surely, 2^{3142083407820} is an apocalyptic number.

3142083407820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3142083407820 is an abundant number, since it is smaller than the sum of its proper divisors (7265592958260).

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

3142083407820 is a wasteful number, since it uses less digits than its factorization.

3142083407820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18114252 (or 18114243 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 3142083407820 in words is "three trillion, one hundred forty-two billion, eighty-three million, four hundred seven thousand, eight hundred twenty".