220414140424200 has 96 divisors (see below), whose sum is σ = 687808894109760. Its totient is φ = 58387851744000.

The previous prime is 220414140424193. The next prime is 220414140424211. The reversal of 220414140424200 is 2424041414022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1216322979 + ... + 1216504178.

It is an arithmetic number, because the mean of its divisors is an integer number (7164675980310).

Almost surely, 2^{220414140424200} is an apocalyptic number.

220414140424200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220414140424200 is an abundant number, since it is smaller than the sum of its proper divisors (467394753685560).

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

220414140424200 is a wasteful number, since it uses less digits than its factorization.

220414140424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432827327 (or 2432827318 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 220414140424200 its reverse (2424041414022), we get a palindrome (222838181838222).

The spelling of 220414140424200 in words is "two hundred twenty trillion, four hundred fourteen billion, one hundred forty million, four hundred twenty-four thousand, two hundred".