130440040413400 has 192 divisors, whose sum is σ = 309383323200000. Its totient is φ = 51130595443200.

The previous prime is 130440040413373. The next prime is 130440040413439. The reversal of 130440040413400 is 4314040044031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5364138042 + ... + 5364162358.

It is an arithmetic number, because the mean of its divisors is an integer number (1611371475000).

Almost surely, 2^{130440040413400} is an apocalyptic number.

130440040413400 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 130440040413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154691661600000).

130440040413400 is an abundant number, since it is smaller than the sum of its proper divisors (178943282786600).

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

130440040413400 is a wasteful number, since it uses less digits than its factorization.

130440040413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25802 (or 25793 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 130440040413400 its reverse (4314040044031), we get a palindrome (134754080457431).

The spelling of 130440040413400 in words is "one hundred thirty trillion, four hundred forty billion, forty million, four hundred thirteen thousand, four hundred".