20405001144 has 64 divisors (see below), whose sum is σ = 55662727680. Its totient is φ = 6181920000.

The previous prime is 20405001107. The next prime is 20405001157. The reversal of 20405001144 is 44110050402.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20405001144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2094204 + ... + 2103924.

It is an arithmetic number, because the mean of its divisors is an integer number (869730120).

Almost surely, 2^20405001144 is an apocalyptic number.

20405001144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20405001144 is an abundant number, since it is smaller than the sum of its proper divisors (35257726536).

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

20405001144 is a wasteful number, since it uses less digits than its factorization.

20405001144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17692 (or 17688 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 20405001144 its reverse (44110050402), we get a palindrome (64515051546).

The spelling of 20405001144 in words is "twenty billion, four hundred five million, one thousand, one hundred forty-four".