3091430469120 has 1280 divisors, whose sum is σ = 12046680391680. Its totient is φ = 661428633600.

The previous prime is 3091430469097. The next prime is 3091430469187. The reversal of 3091430469120 is 219640341903.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12827512200 + ... + 12827512440.

It is an arithmetic number, because the mean of its divisors is an integer number (9411469056).

Almost surely, 2^{3091430469120} is an apocalyptic number.

3091430469120 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 3091430469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023340195840).

3091430469120 is an abundant number, since it is smaller than the sum of its proper divisors (8955249922560).

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

3091430469120 is a wasteful number, since it uses less digits than its factorization.

3091430469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 3091430469120 in words is "three trillion, ninety-one billion, four hundred thirty million, four hundred sixty-nine thousand, one hundred twenty".