130420341514624 has 128 divisors (see below), whose sum is σ = 298459180800000. Its totient is φ = 55608365058048.

The previous prime is 130420341514613. The next prime is 130420341514709. The reversal of 130420341514624 is 426415143024031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×130420341514624² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2373020457 + ... + 2373075415.

It is an arithmetic number, because the mean of its divisors is an integer number (2331712350000).

Almost surely, 2^{130420341514624} is an apocalyptic number.

130420341514624 is a gapful number since it is divisible by the number (14) 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 130420341514624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149229590400000).

130420341514624 is an abundant number, since it is smaller than the sum of its proper divisors (168038839285376).

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

130420341514624 is a wasteful number, since it uses less digits than its factorization.

130420341514624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68488 (or 68476 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

Adding to 130420341514624 its reverse (426415143024031), we get a palindrome (556835484538655).

The spelling of 130420341514624 in words is "one hundred thirty trillion, four hundred twenty billion, three hundred forty-one million, five hundred fourteen thousand, six hundred twenty-four".