130422400040400 has 480 divisors, whose sum is σ = 452066592552960. Its totient is φ = 31951245312000.

The previous prime is 130422400040371. The next prime is 130422400040441. The reversal of 130422400040400 is 4040004224031.

It is a happy number.

130422400040400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 6725914705 + ... + 6725934095.

It is an arithmetic number, because the mean of its divisors is an integer number (941805401152).

Almost surely, 2^{130422400040400} is an apocalyptic number.

130422400040400 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 130422400040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226033296276480).

130422400040400 is an abundant number, since it is smaller than the sum of its proper divisors (321644192512560).

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

130422400040400 is a wasteful number, since it uses less digits than its factorization.

130422400040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21455 (or 21444 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 130422400040400 its reverse (4040004224031), we get a palindrome (134462404264431).

The spelling of 130422400040400 in words is "one hundred thirty trillion, four hundred twenty-two billion, four hundred million, forty thousand, four hundred".