20413433040 has 640 divisors, whose sum is σ = 87738384384. Its totient is φ = 3787776000.

The previous prime is 20413433039. The next prime is 20413433063. The reversal of 20413433040 is 4033431402.

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 20413433040.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 7446070 + ... + 7448810.

Almost surely, 2^20413433040 is an apocalyptic number.

20413433040 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 20413433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43869192192).

20413433040 is an abundant number, since it is smaller than the sum of its proper divisors (67324951344).

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

20413433040 is a wasteful number, since it uses less digits than its factorization.

20413433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20413433040 its reverse (4033431402), we get a palindrome (24446864442).

The spelling of 20413433040 in words is "twenty billion, four hundred thirteen million, four hundred thirty-three thousand, forty".