130440012041440 has 96 divisors (see below), whose sum is σ = 309532680253440. Its totient is φ = 51944471222784.

The previous prime is 130440012041401. The next prime is 130440012041473. The reversal of 130440012041440 is 44140210044031.

It is a junction number, because it is equal to n+sod(n) for n = 130440012041399 and 130440012041408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150501169 + ... + 151365391.

It is an arithmetic number, because the mean of its divisors is an integer number (3224298752640).

Almost surely, 2^{130440012041440} is an apocalyptic number.

130440012041440 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 130440012041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154766340126720).

130440012041440 is an abundant number, since it is smaller than the sum of its proper divisors (179092668212000).

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

130440012041440 is a wasteful number, since it uses less digits than its factorization.

130440012041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868424 (or 868416 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 130440012041440 its reverse (44140210044031), we get a palindrome (174580222085471).

The spelling of 130440012041440 in words is "one hundred thirty trillion, four hundred forty billion, twelve million, forty-one thousand, four hundred forty".