130441410204000 has 576 divisors, whose sum is σ = 497175473733120. Its totient is φ = 29810267827200.

The previous prime is 130441410203987. The next prime is 130441410204011. The reversal of 130441410204000 is 402014144031.

It is a super-2 number, since 2×130441410204000² (a number of 29 digits) contains 22 as substring.

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, 4519941571 + ... + 4519970429.

It is an arithmetic number, because the mean of its divisors is an integer number (863151864120).

Almost surely, 2^{130441410204000} is an apocalyptic number.

130441410204000 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 130441410204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248587736866560).

130441410204000 is an abundant number, since it is smaller than the sum of its proper divisors (366734063529120).

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

130441410204000 is a wasteful number, since it uses less digits than its factorization.

130441410204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36588 (or 36563 counting only the distinct ones).

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

Adding to 130441410204000 its reverse (402014144031), we get a palindrome (130843424348031).

The spelling of 130441410204000 in words is "one hundred thirty trillion, four hundred forty-one billion, four hundred ten million, two hundred four thousand".