130440041434440 has 256 divisors, whose sum is σ = 444600233856000. Its totient is φ = 34001833512960.

The previous prime is 130440041434433. The next prime is 130440041434441. The reversal of 130440041434440 is 44434140044031.

130440041434440 is a `hidden beast` number, since 1 + 30 + 4 + 40 + 0 + 4 + 143 + 4 + 440 = 666.

It is a super-2 number, since 2×130440041434440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130440041434395 and 130440041434404.

It is not an unprimeable number, because it can be changed into a prime (130440041434441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39476620 + ... + 42653060.

It is an arithmetic number, because the mean of its divisors is an integer number (1736719663500).

Almost surely, 2^{130440041434440} is an apocalyptic number.

130440041434440 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 130440041434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222300116928000).

130440041434440 is an abundant number, since it is smaller than the sum of its proper divisors (314160192421560).

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

130440041434440 is a wasteful number, since it uses less digits than its factorization.

130440041434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177317 (or 3177307 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 130440041434440 its reverse (44434140044031), we get a palindrome (174874181478471).

The spelling of 130440041434440 in words is "one hundred thirty trillion, four hundred forty billion, forty-one million, four hundred thirty-four thousand, four hundred forty".