1144028160 has 528 divisors, whose sum is σ = 4514077152. Its totient is φ = 265420800.

The previous prime is 1144028153. The next prime is 1144028219. The reversal of 1144028160 is 618204411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18754530 + ... + 18754590.

Almost surely, 2^1144028160 is an apocalyptic number.

1144028160 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 1144028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257038576).

1144028160 is an abundant number, since it is smaller than the sum of its proper divisors (3370048992).

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

1144028160 is a wasteful number, since it uses less digits than its factorization.

1144028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1144028160 is about 33823.4853319406. The cubic root of 1144028160 is about 1045.8728877315.

1144028160 divided by its product of nonzero digits (1536) gives a triangular number (744810 = T₁₂₂₀).

The spelling of 1144028160 in words is "one billion, one hundred forty-four million, twenty-eight thousand, one hundred sixty".