130440241010400 has 576 divisors, whose sum is σ = 441657550107648. Its totient is φ = 33410012405760.

The previous prime is 130440241010353. The next prime is 130440241010447. The reversal of 130440241010400 is 4010142044031.

It is an interprime number because it is at equal distance from previous prime (130440241010353) and next prime (130440241010447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 10488072982 + ... + 10488085418.

It is an arithmetic number, because the mean of its divisors is an integer number (766766580048).

Almost surely, 2^{130440241010400} is an apocalyptic number.

130440241010400 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 130440241010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220828775053824).

130440241010400 is an abundant number, since it is smaller than the sum of its proper divisors (311217309097248).

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

130440241010400 is a wasteful number, since it uses less digits than its factorization.

130440241010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14003 (or 13990 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 130440241010400 its reverse (4010142044031), we get a palindrome (134450383054431).

The spelling of 130440241010400 in words is "one hundred thirty trillion, four hundred forty billion, two hundred forty-one million, ten thousand, four hundred".