20411431040 has 512 divisors, whose sum is σ = 66262855680. Its totient is φ = 5806080000.

The previous prime is 20411431037. The next prime is 20411431043. The reversal of 20411431040 is 4013411402.

It is an interprime number because it is at equal distance from previous prime (20411431037) and next prime (20411431043).

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

It is not an unprimeable number, because it can be changed into a prime (20411431043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96736535 + ... + 96736745.

It is an arithmetic number, because the mean of its divisors is an integer number (129419640).

Almost surely, 2^20411431040 is an apocalyptic number.

20411431040 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 20411431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33131427840).

20411431040 is an abundant number, since it is smaller than the sum of its proper divisors (45851424640).

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

20411431040 is a wasteful number, since it uses less digits than its factorization.

20411431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20411431040 its reverse (4013411402), we get a palindrome (24424842442).

The spelling of 20411431040 in words is "twenty billion, four hundred eleven million, four hundred thirty-one thousand, forty".