130221414440 has 128 divisors (see below), whose sum is σ = 319468212000. Its totient is φ = 47483977728.

The previous prime is 130221414439. The next prime is 130221414457. The reversal of 130221414440 is 44414122031.

It can be written as a sum of positive squares in 16 ways, for example, as 52649138116 + 77572276324 = 229454^2 + 278518^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65207522 + ... + 65209518.

Almost surely, 2^130221414440 is an apocalyptic number.

130221414440 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 130221414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159734106000).

130221414440 is an abundant number, since it is smaller than the sum of its proper divisors (189246797560).

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

130221414440 is a wasteful number, since it uses less digits than its factorization.

130221414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 130221414440 its reverse (44414122031), we get a palindrome (174635536471).

The spelling of 130221414440 in words is "one hundred thirty billion, two hundred twenty-one million, four hundred fourteen thousand, four hundred forty".