130440040010340 has 384 divisors, whose sum is σ = 410041868156928. Its totient is φ = 30828453519360.

The previous prime is 130440040010333. The next prime is 130440040010363. The reversal of 130440040010340 is 43010040044031.

130440040010340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×130440040010340³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130440040010340.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 256848547 + ... + 257355893.

It is an arithmetic number, because the mean of its divisors is an integer number (1067817364992).

Almost surely, 2^{130440040010340} is an apocalyptic number.

130440040010340 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 130440040010340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205020934078464).

130440040010340 is an abundant number, since it is smaller than the sum of its proper divisors (279601828146588).

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

130440040010340 is a wasteful number, since it uses less digits than its factorization.

130440040010340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507627 (or 507625 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 130440040010340 its reverse (43010040044031), we get a palindrome (173450080054371).

The spelling of 130440040010340 in words is "one hundred thirty trillion, four hundred forty billion, forty million, ten thousand, three hundred forty".