130417824000 has 576 divisors, whose sum is σ = 460388597760. Its totient is φ = 32630169600.

The previous prime is 130417823983. The next prime is 130417824007. The reversal of 130417824000 is 428714031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (130417824007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231647719 + ... + 231648281.

It is an arithmetic number, because the mean of its divisors is an integer number (799285760).

Almost surely, 2^130417824000 is an apocalyptic number.

130417824000 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 130417824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230194298880).

130417824000 is an abundant number, since it is smaller than the sum of its proper divisors (329970773760).

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

130417824000 is a wasteful number, since it uses less digits than its factorization.

130417824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 130417824000 in words is "one hundred thirty billion, four hundred seventeen million, eight hundred twenty-four thousand".