34221504550440 has 128 divisors (see below), whose sum is σ = 103223926189440. Its totient is φ = 9076034174976.

The previous prime is 34221504550423. The next prime is 34221504550477. The reversal of 34221504550440 is 4405540512243.

It is a super-2 number, since 2×34221504550440² (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 31 ways as a sum of consecutive naturals, for example, 87651099 + ... + 88040661.

It is an arithmetic number, because the mean of its divisors is an integer number (806436923355).

Almost surely, 2^{34221504550440} is an apocalyptic number.

34221504550440 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 34221504550440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51611963094720).

34221504550440 is an abundant number, since it is smaller than the sum of its proper divisors (69002421639000).

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

34221504550440 is a wasteful number, since it uses less digits than its factorization.

34221504550440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393563 (or 393559 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 34221504550440 in words is "thirty-four trillion, two hundred twenty-one billion, five hundred four million, five hundred fifty thousand, four hundred forty".