220413204020 has 48 divisors (see below), whose sum is σ = 464596570368. Its totient is φ = 87836286720.

The previous prime is 220413203897. The next prime is 220413204029. The reversal of 220413204020 is 20402314022.

It is a super-3 number, since 3×220413204020³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220413203983 and 220413204001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220413204029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13056185 + ... + 13073055.

It is an arithmetic number, because the mean of its divisors is an integer number (9679095216).

Almost surely, 2^220413204020 is an apocalyptic number.

220413204020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220413204020 is an abundant number, since it is smaller than the sum of its proper divisors (244183366348).

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

220413204020 is a wasteful number, since it uses less digits than its factorization.

220413204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19280 (or 19278 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 220413204020 its reverse (20402314022), we get a palindrome (240815518042).

The spelling of 220413204020 in words is "two hundred twenty billion, four hundred thirteen million, two hundred four thousand, twenty".