20013433440 has 768 divisors, whose sum is σ = 88373182464. Its totient is φ = 3669811200.

The previous prime is 20013433439. The next prime is 20013433441. The reversal of 20013433440 is 4433431002.

It is an interprime number because it is at equal distance from previous prime (20013433439) and next prime (20013433441).

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 20013433440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013433441) 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 127 ways as a sum of consecutive naturals, for example, 11050135 + ... + 11051945.

It is an arithmetic number, because the mean of its divisors is an integer number (115069248).

Almost surely, 2^20013433440 is an apocalyptic number.

20013433440 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 20013433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44186591232).

20013433440 is an abundant number, since it is smaller than the sum of its proper divisors (68359749024).

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

20013433440 is a wasteful number, since it uses less digits than its factorization.

20013433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1875 counting only the distinct ones).

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

Adding to 20013433440 its reverse (4433431002), we get a palindrome (24446864442).

The spelling of 20013433440 in words is "twenty billion, thirteen million, four hundred thirty-three thousand, four hundred forty".