130415054400 has 420 divisors, whose sum is σ = 492347062548. Its totient is φ = 33836175360.

The previous prime is 130415054387. The next prime is 130415054443. The reversal of 130415054400 is 4450514031.

It is a happy number.

130415054400 is a `hidden beast` number, since 1 + 30 + 41 + 50 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1643167296 + 128771887104 = 40536^2 + 358848^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4781602 + ... + 4808798.

Almost surely, 2^130415054400 is an apocalyptic number.

130415054400 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 130415054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246173531274).

130415054400 is an abundant number, since it is smaller than the sum of its proper divisors (361932008148).

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

130415054400 is a wasteful number, since it uses less digits than its factorization.

130415054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27268 (or 27244 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 130415054400 its reverse (4450514031), we get a palindrome (134865568431).

The spelling of 130415054400 in words is "one hundred thirty billion, four hundred fifteen million, fifty-four thousand, four hundred".