1220305432410 has 96 divisors (see below), whose sum is σ = 3194439026688. Its totient is φ = 323201594880.

The previous prime is 1220305432397. The next prime is 1220305432417. The reversal of 1220305432410 is 142345030221.

1220305432410 is a `hidden beast` number, since 1 + 2 + 20 + 305 + 4 + 324 + 10 = 666.

It is not an unprimeable number, because it can be changed into a prime (1220305432417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8579634 + ... + 8720706.

It is an arithmetic number, because the mean of its divisors is an integer number (33275406528).

Almost surely, 2^{1220305432410} is an apocalyptic number.

1220305432410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220305432410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597219513344).

1220305432410 is an abundant number, since it is smaller than the sum of its proper divisors (1974133594278).

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

1220305432410 is a wasteful number, since it uses less digits than its factorization.

1220305432410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141740 (or 141737 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 1220305432410 in words is "one trillion, two hundred twenty billion, three hundred five million, four hundred thirty-two thousand, four hundred ten".