10033144400 has 30 divisors (see below), whose sum is σ = 24104630382. Its totient is φ = 4013257600.

The previous prime is 10033144369. The next prime is 10033144409. The reversal of 10033144400 is 444133001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1378191376 + 8654953024 = 37124^2 + 93032^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033144409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12541031 + ... + 12541830.

Almost surely, 2^10033144400 is an apocalyptic number.

10033144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033144400 is an abundant number, since it is smaller than the sum of its proper divisors (14071485982).

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

10033144400 is a wasteful number, since it uses less digits than its factorization.

10033144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25082879 (or 25082868 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10033144400 its reverse (444133001), we get a palindrome (10477277401).

The spelling of 10033144400 in words is "ten billion, thirty-three million, one hundred forty-four thousand, four hundred".