1000144400 has 60 divisors (see below), whose sum is σ = 2443630800. Its totient is φ = 393267840.

The previous prime is 1000144393. The next prime is 1000144451. The reversal of 1000144400 is 44410001.

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 11 ways as a sum of consecutive naturals, for example, 2411 + ... + 44789.

It is an arithmetic number, because the mean of its divisors is an integer number (40727180).

Almost surely, 2^1000144400 is an apocalyptic number.

1000144400 is a gapful number since it is divisible by the number (10) 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 1000144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221815400).

1000144400 is an abundant number, since it is smaller than the sum of its proper divisors (1443486400).

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

1000144400 is a wasteful number, since it uses less digits than its factorization.

1000144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42456 (or 42445 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1000144400 is about 31625.0596837381. The cubic root of 1000144400 is about 1000.0481310167.

Adding to 1000144400 its reverse (44410001), we get a palindrome (1044554401).

The spelling of 1000144400 in words is "one billion, one hundred forty-four thousand, four hundred".