220040410320 has 120 divisors (see below), whose sum is σ = 751494088800. Its totient is φ = 57682898688.

The previous prime is 220040410307. The next prime is 220040410363. The reversal of 220040410320 is 23014040022.

220040410320 is a `hidden beast` number, since 220 + 0 + 4 + 0 + 410 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220040410293 and 220040410302.

It is a congruent number.

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, 2547450 + ... + 2632409.

It is an arithmetic number, because the mean of its divisors is an integer number (6262450740).

Almost surely, 2^220040410320 is an apocalyptic number.

220040410320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220040410320 is an abundant number, since it is smaller than the sum of its proper divisors (531453678480).

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

220040410320 is a wasteful number, since it uses less digits than its factorization.

220040410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5179937 (or 5179928 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 220040410320 its reverse (23014040022), we get a palindrome (243054450342).

The spelling of 220040410320 in words is "two hundred twenty billion, forty million, four hundred ten thousand, three hundred twenty".