1040144400 has 90 divisors (see below), whose sum is σ = 3609602490. Its totient is φ = 277370880.

The previous prime is 1040144393. The next prime is 1040144401. The reversal of 1040144400 is 44410401.

It can be written as a sum of positive squares in 3 ways, for example, as 281031696 + 759112704 = 16764^2 + 27552^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (1040144401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 140865 + ... + 148064.

Almost surely, 2^1040144400 is an apocalyptic number.

1040144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040144400 is an abundant number, since it is smaller than the sum of its proper divisors (2569458090).

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

1040144400 is a wasteful number, since it uses less digits than its factorization.

1040144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288953 (or 288939 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1040144400 is about 32251.2697424458. The cubic root of 1040144400 is about 1013.2062927456.

Adding to 1040144400 its reverse (44410401), we get a palindrome (1084554801).

The spelling of 1040144400 in words is "one billion, forty million, one hundred forty-four thousand, four hundred".