20442121440 has 192 divisors, whose sum is σ = 70062947136. Its totient is φ = 4979884032.

The previous prime is 20442121421. The next prime is 20442121457. The reversal of 20442121440 is 4412124402.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20442121440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588394 + ... + 622166.

It is an arithmetic number, because the mean of its divisors is an integer number (364911183).

Almost surely, 2^20442121440 is an apocalyptic number.

20442121440 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 20442121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35031473568).

20442121440 is an abundant number, since it is smaller than the sum of its proper divisors (49620825696).

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

20442121440 is a wasteful number, since it uses less digits than its factorization.

20442121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33901 (or 33893 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 20442121440 its reverse (4412124402), we get a palindrome (24854245842).

The spelling of 20442121440 in words is "twenty billion, four hundred forty-two million, one hundred twenty-one thousand, four hundred forty".