220434450405415 has 32 divisors (see below), whose sum is σ = 273026707917120. Its totient is φ = 170726936371200.

The previous prime is 220434450405391. The next prime is 220434450405439. The reversal of 220434450405415 is 514504054434022.

It is an interprime number because it is at equal distance from previous prime (220434450405391) and next prime (220434450405439).

It is not a de Polignac number, because 220434450405415 - 2⁵ = 220434450405383 is a prime.

It is a super-4 number, since 4×220434450405415⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 27632455 + ... + 34704775.

It is an arithmetic number, because the mean of its divisors is an integer number (8532084622410).

Almost surely, 2^{220434450405415} is an apocalyptic number.

220434450405415 is a deficient number, since it is larger than the sum of its proper divisors (52592257511705).

220434450405415 is a wasteful number, since it uses less digits than its factorization.

220434450405415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7073203.

The product of its (nonzero) digits is 1536000, while the sum is 43.

The spelling of 220434450405415 in words is "two hundred twenty trillion, four hundred thirty-four billion, four hundred fifty million, four hundred five thousand, four hundred fifteen".