130958942400 has 2688 divisors, whose sum is σ = 628609766400. Its totient is φ = 26011238400.

The previous prime is 130958942363. The next prime is 130958942441. The reversal of 130958942400 is 4249859031.

130958942400 is a `hidden beast` number, since 130 + 95 + 8 + 9 + 424 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3045556779 + ... + 3045556821.

It is an arithmetic number, because the mean of its divisors is an integer number (233857800).

Almost surely, 2^130958942400 is an apocalyptic number.

130958942400 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 130958942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314304883200).

130958942400 is an abundant number, since it is smaller than the sum of its proper divisors (497650824000).

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

130958942400 is a wasteful number, since it uses less digits than its factorization.

130958942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 130958942400 in words is "one hundred thirty billion, nine hundred fifty-eight million, nine hundred forty-two thousand, four hundred".