220244240040 has 256 divisors, whose sum is σ = 729107619840. Its totient is φ = 52778880000.

The previous prime is 220244240009. The next prime is 220244240059. The reversal of 220244240040 is 40042442022.

It is a super-3 number, since 3×220244240040³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132119287 + ... + 132120953.

It is an arithmetic number, because the mean of its divisors is an integer number (2848076640).

Almost surely, 2^220244240040 is an apocalyptic number.

220244240040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220244240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364553809920).

220244240040 is an abundant number, since it is smaller than the sum of its proper divisors (508863379800).

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

220244240040 is a wasteful number, since it uses less digits than its factorization.

220244240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 220244240040 its reverse (40042442022), we get a palindrome (260286682062).

The spelling of 220244240040 in words is "two hundred twenty billion, two hundred forty-four million, two hundred forty thousand, forty".