1040144000 has 256 divisors, whose sum is σ = 3047466240. Its totient is φ = 345600000.

The previous prime is 1040143991. The next prime is 1040144011. The reversal of 1040144000 is 4410401.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4143875 + ... + 4144125.

It is an arithmetic number, because the mean of its divisors is an integer number (11904165).

Almost surely, 2^1040144000 is an apocalyptic number.

1040144000 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 1040144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523733120).

1040144000 is an abundant number, since it is smaller than the sum of its proper divisors (2007322240).

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

1040144000 is an equidigital number, since it uses as much as digits as its factorization.

1040144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 302 counting only the distinct ones).

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

The square root of 1040144000 is about 32251.2635411390. The cubic root of 1040144000 is about 1013.2061628654.

Adding to 1040144000 its reverse (4410401), we get a palindrome (1044554401).

The spelling of 1040144000 in words is "one billion, forty million, one hundred forty-four thousand".