20441550400 has 84 divisors (see below), whose sum is σ = 51525959940. Its totient is φ = 7977164800.

The previous prime is 20441550391. The next prime is 20441550407. The reversal of 20441550400 is 405514402.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3150352384 + 17291198016 = 56128^2 + 131496^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20441550407) 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 11 ways as a sum of consecutive naturals, for example, 90205 + ... + 221404.

It is an arithmetic number, because the mean of its divisors is an integer number (613404285).

Almost surely, 2^20441550400 is an apocalyptic number.

20441550400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20441550400 is an abundant number, since it is smaller than the sum of its proper divisors (31084409540).

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

20441550400 is a wasteful number, since it uses less digits than its factorization.

20441550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311672 (or 311657 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 20441550400 in words is "twenty billion, four hundred forty-one million, five hundred fifty thousand, four hundred".