220142100440 has 64 divisors (see below), whose sum is σ = 524532749760. Its totient is φ = 82864926720.

The previous prime is 220142100401. The next prime is 220142100487. The reversal of 220142100440 is 44001241022.

It is a super-2 number, since 2×220142100440² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5632004 + ... + 5670956.

It is an arithmetic number, because the mean of its divisors is an integer number (8195824215).

Almost surely, 2^220142100440 is an apocalyptic number.

220142100440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220142100440 is an abundant number, since it is smaller than the sum of its proper divisors (304390649320).

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

220142100440 is a wasteful number, since it uses less digits than its factorization.

220142100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47292 (or 47288 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 220142100440 its reverse (44001241022), we get a palindrome (264143341462).

The spelling of 220142100440 in words is "two hundred twenty billion, one hundred forty-two million, one hundred thousand, four hundred forty".