130262417053440 has 432 divisors, whose sum is σ = 483988891502592. Its totient is φ = 29771759689728.

The previous prime is 130262417053403. The next prime is 130262417053463. The reversal of 130262417053440 is 44350714262031.

It is a super-2 number, since 2×130262417053440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 130262417053392 and 130262417053401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3124752277 + ... + 3124793963.

It is an arithmetic number, because the mean of its divisors is an integer number (1120344656256).

Almost surely, 2^{130262417053440} is an apocalyptic number.

130262417053440 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 130262417053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241994445751296).

130262417053440 is an abundant number, since it is smaller than the sum of its proper divisors (353726474449152).

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

130262417053440 is a wasteful number, since it uses less digits than its factorization.

130262417053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58332 (or 58311 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 130262417053440 in words is "one hundred thirty trillion, two hundred sixty-two billion, four hundred seventeen million, fifty-three thousand, four hundred forty".