1144400010 has 128 divisors (see below), whose sum is σ = 3083318784. Its totient is φ = 269982720.

The previous prime is 1144399987. The next prime is 1144400011. The reversal of 1144400010 is 100044411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1144400011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1023972 + ... + 1025088.

It is an arithmetic number, because the mean of its divisors is an integer number (24088428).

Almost surely, 2^1144400010 is an apocalyptic number.

1144400010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144400010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541659392).

1144400010 is an abundant number, since it is smaller than the sum of its proper divisors (1938918774).

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

1144400010 is a wasteful number, since it uses less digits than its factorization.

1144400010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1144400010 is about 33828.9818055466. The cubic root of 1144400010 is about 1045.9861908005.

Adding to 1144400010 its reverse (100044411), we get a palindrome (1244444421).

The spelling of 1144400010 in words is "one billion, one hundred forty-four million, four hundred thousand, ten".