20411413440 has 336 divisors, whose sum is σ = 72295390080. Its totient is φ = 4837478400.

The previous prime is 20411413343. The next prime is 20411413441. The reversal of 20411413440 is 4431411402.

It is a super-2 number, since 2×20411413440² (a number of 21 digits) contains 22 as substring.

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 20411413440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20411413441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112770150 + ... + 112770330.

Almost surely, 2^20411413440 is an apocalyptic number.

20411413440 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 20411413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36147695040).

20411413440 is an abundant number, since it is smaller than the sum of its proper divisors (51883976640).

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

20411413440 is a wasteful number, since it uses less digits than its factorization.

20411413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20411413440 its reverse (4431411402), we get a palindrome (24842824842).

The spelling of 20411413440 in words is "twenty billion, four hundred eleven million, four hundred thirteen thousand, four hundred forty".