130068469440 has 672 divisors, whose sum is σ = 574850727360. Its totient is φ = 27441856512.

The previous prime is 130068469439. The next prime is 130068469483. The reversal of 130068469440 is 44964860031.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5491864 + ... + 5515496.

It is an arithmetic number, because the mean of its divisors is an integer number (855432630).

Almost surely, 2^130068469440 is an apocalyptic number.

130068469440 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 130068469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287425363680).

130068469440 is an abundant number, since it is smaller than the sum of its proper divisors (444782257920).

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

130068469440 is a wasteful number, since it uses less digits than its factorization.

130068469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23686 (or 23663 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 130068469440 in words is "one hundred thirty billion, sixty-eight million, four hundred sixty-nine thousand, four hundred forty".