130995001440 has 1152 divisors, whose sum is σ = 527175008640. Its totient is φ = 30636195840.

The previous prime is 130995001387. The next prime is 130995001499. The reversal of 130995001440 is 44100599031.

It is a happy number.

130995001440 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 9 + 500 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130995001395 and 130995001404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2147459010 + ... + 2147459070.

It is an arithmetic number, because the mean of its divisors is an integer number (457617195).

Almost surely, 2^130995001440 is an apocalyptic number.

130995001440 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 130995001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263587504320).

130995001440 is an abundant number, since it is smaller than the sum of its proper divisors (396180007200).

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

130995001440 is an equidigital number, since it uses as much as digits as its factorization.

130995001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 130995001440 in words is "one hundred thirty billion, nine hundred ninety-five million, one thousand, four hundred forty".