1016144000 has 128 divisors (see below), whose sum is σ = 2589678000. Its totient is φ = 396288000.

The previous prime is 1016143993. The next prime is 1016144027. The reversal of 1016144000 is 4416101.

It can be written as a sum of positive squares in 8 ways, for example, as 34199104 + 981944896 = 5848^2 + 31336^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1016144000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655226 + ... + 656774.

Almost surely, 2^1016144000 is an apocalyptic number.

1016144000 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 1016144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294839000).

1016144000 is an abundant number, since it is smaller than the sum of its proper divisors (1573534000).

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

1016144000 is an equidigital number, since it uses as much as digits as its factorization.

1016144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1016144000 is about 31877.0136618850. The cubic root of 1016144000 is about 1005.3526315500.

The spelling of 1016144000 in words is "one billion, sixteen million, one hundred forty-four thousand".