130407029760 has 704 divisors, whose sum is σ = 494172656640. Its totient is φ = 28736225280.

The previous prime is 130407029747. The next prime is 130407029773. The reversal of 130407029760 is 67920704031.

It is an interprime number because it is at equal distance from previous prime (130407029747) and next prime (130407029773).

It is a congruent number.

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, 386964312 + ... + 386964648.

Almost surely, 2^130407029760 is an apocalyptic number.

130407029760 is a gapful number since it is divisible by the number (10) 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 130407029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247086328320).

130407029760 is an abundant number, since it is smaller than the sum of its proper divisors (363765626880).

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

130407029760 is a wasteful number, since it uses less digits than its factorization.

130407029760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 130407029760 in words is "one hundred thirty billion, four hundred seven million, twenty-nine thousand, seven hundred sixty".