130416599040 has 896 divisors, whose sum is σ = 523165547520. Its totient is φ = 27009220608.

The previous prime is 130416598981. The next prime is 130416599057. The reversal of 130416599040 is 40995614031.

It is a tau number, because it is divible by the number of its divisors (896).

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 = 130416598983 and 130416599001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1196482506 + ... + 1196482614.

It is an arithmetic number, because the mean of its divisors is an integer number (583890120).

Almost surely, 2^130416599040 is an apocalyptic number.

130416599040 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 130416599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261582773760).

130416599040 is an abundant number, since it is smaller than the sum of its proper divisors (392748948480).

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

130416599040 is a wasteful number, since it uses less digits than its factorization.

130416599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 130416599040 in words is "one hundred thirty billion, four hundred sixteen million, five hundred ninety-nine thousand, forty".