130414996131840 has 1248 divisors, whose sum is σ = 536365195591680. Its totient is φ = 29775659139072.

The previous prime is 130414996131811. The next prime is 130414996131859. The reversal of 130414996131840 is 48131699414031.

130414996131840 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 1 + 4 + 9 + 9 + 613 + 18 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 44555856457 + ... + 44555859383.

It is an arithmetic number, because the mean of its divisors is an integer number (429779804160).

Almost surely, 2^{130414996131840} is an apocalyptic number.

130414996131840 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 130414996131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268182597795840).

130414996131840 is an abundant number, since it is smaller than the sum of its proper divisors (405950199459840).

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

130414996131840 is an equidigital number, since it uses as much as digits as its factorization.

130414996131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 130414996131840 in words is "one hundred thirty trillion, four hundred fourteen billion, nine hundred ninety-six million, one hundred thirty-one thousand, eight hundred forty".