130221629839840 has 384 divisors, whose sum is σ = 402710449075200. Its totient is φ = 38604037570560.

The previous prime is 130221629839817. The next prime is 130221629839841. The reversal of 130221629839840 is 48938926122031.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130221629839841) 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, 21217756 + ... + 26657764.

It is an arithmetic number, because the mean of its divisors is an integer number (1048725127800).

Almost surely, 2^{130221629839840} is an apocalyptic number.

130221629839840 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 130221629839840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201355224537600).

130221629839840 is an abundant number, since it is smaller than the sum of its proper divisors (272488819235360).

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

130221629839840 is a wasteful number, since it uses less digits than its factorization.

130221629839840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440138 (or 5440130 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The spelling of 130221629839840 in words is "one hundred thirty trillion, two hundred twenty-one billion, six hundred twenty-nine million, eight hundred thirty-nine thousand, eight hundred forty".