20102241440 has 96 divisors (see below), whose sum is σ = 48157623360. Its totient is φ = 7928510464.

The previous prime is 20102241427. The next prime is 20102241461. The reversal of 20102241440 is 4414220102.

It is a super-2 number, since 2×20102241440² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8750372 + ... + 8752668.

It is an arithmetic number, because the mean of its divisors is an integer number (501641910).

Almost surely, 2^20102241440 is an apocalyptic number.

20102241440 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 20102241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24078811680).

20102241440 is an abundant number, since it is smaller than the sum of its proper divisors (28055381920).

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

20102241440 is a wasteful number, since it uses less digits than its factorization.

20102241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3046 counting only the distinct ones).

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

Adding to 20102241440 its reverse (4414220102), we get a palindrome (24516461542).

The spelling of 20102241440 in words is "twenty billion, one hundred two million, two hundred forty-one thousand, four hundred forty".