130333440400 has 120 divisors (see below), whose sum is σ = 322433128584. Its totient is φ = 50597068800.

The previous prime is 130333440373. The next prime is 130333440407. The reversal of 130333440400 is 4044333031.

It can be written as a sum of positive squares in 12 ways, for example, as 101411676304 + 28921764096 = 318452^2 + 170064^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (130333440407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3144612 + ... + 3185788.

Almost surely, 2^130333440400 is an apocalyptic number.

130333440400 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 130333440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161216564292).

130333440400 is an abundant number, since it is smaller than the sum of its proper divisors (192099688184).

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

130333440400 is a wasteful number, since it uses less digits than its factorization.

130333440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41429 (or 41418 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 130333440400 its reverse (4044333031), we get a palindrome (134377773431).

The spelling of 130333440400 in words is "one hundred thirty billion, three hundred thirty-three million, four hundred forty thousand, four hundred".