130422120410400 has 576 divisors, whose sum is σ = 522581796124416. Its totient is φ = 27512856576000.

The previous prime is 130422120410333. The next prime is 130422120410443. The reversal of 130422120410400 is 4014021224031.

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

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, 1336777620 + ... + 1336875180.

It is an arithmetic number, because the mean of its divisors is an integer number (907260062716).

Almost surely, 2^{130422120410400} is an apocalyptic number.

130422120410400 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 130422120410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261290898062208).

130422120410400 is an abundant number, since it is smaller than the sum of its proper divisors (392159675714016).

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

130422120410400 is a wasteful number, since it uses less digits than its factorization.

130422120410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103725 (or 103712 counting only the distinct ones).

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

Adding to 130422120410400 its reverse (4014021224031), we get a palindrome (134436141634431).

The spelling of 130422120410400 in words is "one hundred thirty trillion, four hundred twenty-two billion, one hundred twenty million, four hundred ten thousand, four hundred".