20101022440 has 64 divisors (see below), whose sum is σ = 46370938320. Its totient is φ = 7837440000.

The previous prime is 20101022429. The next prime is 20101022443. The reversal of 20101022440 is 4422010102.

It can be written as a sum of positive squares in 8 ways, for example, as 18164644 + 20082857796 = 4262^2 + 141714^2 .

It is a super-2 number, since 2×20101022440² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20101022443) 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, 2128930 + ... + 2138350.

Almost surely, 2^20101022440 is an apocalyptic number.

20101022440 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 20101022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23185469160).

20101022440 is an abundant number, since it is smaller than the sum of its proper divisors (26269915880).

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

20101022440 is a wasteful number, since it uses less digits than its factorization.

20101022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10774 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20101022440 its reverse (4422010102), we get a palindrome (24523032542).

The spelling of 20101022440 in words is "twenty billion, one hundred one million, twenty-two thousand, four hundred forty".