3130128435840 has 512 divisors, whose sum is σ = 11664768960000. Its totient is φ = 713647226880.

The previous prime is 3130128435839. The next prime is 3130128435851. The reversal of 3130128435840 is 485348210313.

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

It is a junction number, because it is equal to n+sod(n) for n = 3130128435792 and 3130128435801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269345230 + ... + 269356850.

It is an arithmetic number, because the mean of its divisors is an integer number (22782751875).

Almost surely, 2^{3130128435840} is an apocalyptic number.

3130128435840 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 3130128435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832384480000).

3130128435840 is an abundant number, since it is smaller than the sum of its proper divisors (8534640524160).

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

3130128435840 is a wasteful number, since it uses less digits than its factorization.

3130128435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12073 (or 12047 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 3130128435840 in words is "three trillion, one hundred thirty billion, one hundred twenty-eight million, four hundred thirty-five thousand, eight hundred forty".