130022004400 has 240 divisors, whose sum is σ = 339957178848. Its totient is φ = 47595520000.

The previous prime is 130022004367. The next prime is 130022004439. The reversal of 130022004400 is 4400220031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111798219 + ... + 111799381.

Almost surely, 2^130022004400 is an apocalyptic number.

130022004400 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 130022004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169978589424).

130022004400 is an abundant number, since it is smaller than the sum of its proper divisors (209935174448).

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

130022004400 is a wasteful number, since it uses less digits than its factorization.

130022004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 130022004400 its reverse (4400220031), we get a palindrome (134422224431).

The spelling of 130022004400 in words is "one hundred thirty billion, twenty-two million, four thousand, four hundred".