220503442400 has 72 divisors (see below), whose sum is σ = 543633970824. Its totient is φ = 87328064000.

The previous prime is 220503442387. The next prime is 220503442421. The reversal of 220503442400 is 4244305022.

It is a happy number.

220503442400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220503442400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220503442400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1283702 + ... + 1445301.

It is an arithmetic number, because the mean of its divisors is an integer number (7550471817).

Almost surely, 2^220503442400 is an apocalyptic number.

220503442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220503442400 is an abundant number, since it is smaller than the sum of its proper divisors (323130528424).

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

220503442400 is a wasteful number, since it uses less digits than its factorization.

220503442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729124 (or 2729111 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 220503442400 its reverse (4244305022), we get a palindrome (224747747422).

The spelling of 220503442400 in words is "two hundred twenty billion, five hundred three million, four hundred forty-two thousand, four hundred".