20344010400 has 864 divisors, whose sum is σ = 87744384000. Its totient is φ = 4335206400.

The previous prime is 20344010399. The next prime is 20344010417. The reversal of 20344010400 is 401044302.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 45309376 + ... + 45309824.

It is an arithmetic number, because the mean of its divisors is an integer number (101556000).

Almost surely, 2^20344010400 is an apocalyptic number.

20344010400 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 20344010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192000).

20344010400 is an abundant number, since it is smaller than the sum of its proper divisors (67400373600).

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

20344010400 is a wasteful number, since it uses less digits than its factorization.

20344010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20344010400 its reverse (401044302), we get a palindrome (20745054702).

The spelling of 20344010400 in words is "twenty billion, three hundred forty-four million, ten thousand, four hundred".