130447484294400 has 3456 divisors, whose sum is σ = 623967713510400. Its totient is φ = 25922057011200.

The previous prime is 130447484294389. The next prime is 130447484294461. The reversal of 130447484294400 is 4492484744031.

130447484294400 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 4 + 74 + 84 + 2 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18696783712 + ... + 18696790688.

It is an arithmetic number, because the mean of its divisors is an integer number (180546213400).

Almost surely, 2^{130447484294400} is an apocalyptic number.

130447484294400 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 130447484294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311983856755200).

130447484294400 is an abundant number, since it is smaller than the sum of its proper divisors (493520229216000).

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

130447484294400 is a wasteful number, since it uses less digits than its factorization.

130447484294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7102 (or 7077 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 130447484294400 in words is "one hundred thirty trillion, four hundred forty-seven billion, four hundred eighty-four million, two hundred ninety-four thousand, four hundred".