130434444441040 has 20 divisors (see below), whose sum is σ = 303260083325604. Its totient is φ = 52173777776384.

The previous prime is 130434444441029. The next prime is 130434444441127. The reversal of 130434444441040 is 40144444434031.

It can be written as a sum of positive squares in 2 ways, for example, as 68448551876496 + 61985892564544 = 8273364^2 + 7873112^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 130434444440984 and 130434444441002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 815215277677 + ... + 815215277836.

Almost surely, 2^{130434444441040} is an apocalyptic number.

130434444441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130434444441040 is an abundant number, since it is smaller than the sum of its proper divisors (172825638884564).

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

130434444441040 is a wasteful number, since it uses less digits than its factorization.

130434444441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630430555526 (or 1630430555520 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 130434444441040 its reverse (40144444434031), we get a palindrome (170578888875071).

The spelling of 130434444441040 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred forty-four million, four hundred forty-one thousand, forty".