20211254440 has 256 divisors, whose sum is σ = 54182157120. Its totient is φ = 6715146240.

The previous prime is 20211254411. The next prime is 20211254443. The reversal of 20211254440 is 4445211202.

It can be written as a sum of positive squares in 32 ways, for example, as 5766579844 + 14444674596 = 75938^2 + 120186^2 .

It is not an unprimeable number, because it can be changed into a prime (20211254443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19951374 + ... + 19952386.

Almost surely, 2^20211254440 is an apocalyptic number.

20211254440 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 20211254440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27091078560).

20211254440 is an abundant number, since it is smaller than the sum of its proper divisors (33970902680).

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

20211254440 is a wasteful number, since it uses less digits than its factorization.

20211254440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 20211254440 its reverse (4445211202), we get a palindrome (24656465642).

The spelling of 20211254440 in words is "twenty billion, two hundred eleven million, two hundred fifty-four thousand, four hundred forty".