130408357294080 has 1456 divisors, whose sum is σ = 496018881252000. Its totient is φ = 32803590242304.

The previous prime is 130408357294057. The next prime is 130408357294081. The reversal of 130408357294080 is 80492753804031.

It is a happy number.

130408357294080 is a `hidden beast` number, since 1 + 3 + 0 + 408 + 3 + 5 + 72 + 94 + 0 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130408357294081) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 76306820266 + ... + 76306821974.

Almost surely, 2^{130408357294080} is an apocalyptic number.

130408357294080 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 130408357294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248009440626000).

130408357294080 is an abundant number, since it is smaller than the sum of its proper divisors (365610523957920).

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

130408357294080 is an equidigital number, since it uses as much as digits as its factorization.

130408357294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 130408357294080 in words is "one hundred thirty trillion, four hundred eight billion, three hundred fifty-seven million, two hundred ninety-four thousand, eighty".