130957407267840 has 1056 divisors, whose sum is σ = 482554081152000. Its totient is φ = 32745424158720.

The previous prime is 130957407267769. The next prime is 130957407267871. The reversal of 130957407267840 is 48762704759031.

130957407267840 is a `hidden beast` number, since 1 + 3 + 0 + 95 + 7 + 407 + 2 + 67 + 84 + 0 = 666.

130957407267840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 51497209609 + ... + 51497212151.

It is an arithmetic number, because the mean of its divisors is an integer number (456964092000).

It is a 1-persistent number, because it is pandigital, but 2⋅130957407267840 = 261914814535680 is not.

Almost surely, 2^{130957407267840} is an apocalyptic number.

130957407267840 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 130957407267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241277040576000).

130957407267840 is an abundant number, since it is smaller than the sum of its proper divisors (351596673884160).

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

130957407267840 is a wasteful number, since it uses less digits than its factorization.

130957407267840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 130957407267840 in words is "one hundred thirty trillion, nine hundred fifty-seven billion, four hundred seven million, two hundred sixty-seven thousand, eight hundred forty".