130401404010240 has 576 divisors, whose sum is σ = 461369666741760. Its totient is φ = 31124198522880.

The previous prime is 130401404010223. The next prime is 130401404010259. The reversal of 130401404010240 is 42010404104031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130401404010240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1754485719 + ... + 1754560041.

It is an arithmetic number, because the mean of its divisors is an integer number (800989004760).

Almost surely, 2^{130401404010240} is an apocalyptic number.

130401404010240 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 130401404010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230684833370880).

130401404010240 is an abundant number, since it is smaller than the sum of its proper divisors (330968262731520).

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

130401404010240 is a wasteful number, since it uses less digits than its factorization.

130401404010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75000 (or 74986 counting only the distinct ones).

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

Adding to 130401404010240 its reverse (42010404104031), we get a palindrome (172411808114271).

The spelling of 130401404010240 in words is "one hundred thirty trillion, four hundred one billion, four hundred four million, ten thousand, two hundred forty".