32344514412420 has 192 divisors, whose sum is σ = 104968104062976. Its totient is φ = 7288357655040.

The previous prime is 32344514412389. The next prime is 32344514412461. The reversal of 32344514412420 is 2421441544323.

It is a super-2 number, since 2×32344514412420² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500556034 + ... + 500620646.

It is an arithmetic number, because the mean of its divisors is an integer number (546708875328).

Almost surely, 2^{32344514412420} is an apocalyptic number.

32344514412420 is a gapful number since it is divisible by the number (30) 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 32344514412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52484052031488).

32344514412420 is an abundant number, since it is smaller than the sum of its proper divisors (72623589650556).

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

32344514412420 is a wasteful number, since it uses less digits than its factorization.

32344514412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81490 (or 81488 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

Adding to 32344514412420 its reverse (2421441544323), we get a palindrome (34765955956743).

The spelling of 32344514412420 in words is "thirty-two trillion, three hundred forty-four billion, five hundred fourteen million, four hundred twelve thousand, four hundred twenty".