1144219824 has 480 divisors, whose sum is σ = 4081881600. Its totient is φ = 303367680.

The previous prime is 1144219819. The next prime is 1144219831. The reversal of 1144219824 is 4289124411.

1144219824 is a `hidden beast` number, since 1 + 1 + 442 + 198 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39455842 + ... + 39455870.

It is an arithmetic number, because the mean of its divisors is an integer number (8503920).

Almost surely, 2^1144219824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144219824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040940800).

1144219824 is an abundant number, since it is smaller than the sum of its proper divisors (2937661776).

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

1144219824 is a wasteful number, since it uses less digits than its factorization.

1144219824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 87 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1144219824 is about 33826.3185108873. The cubic root of 1144219824 is about 1045.9312910106.

The spelling of 1144219824 in words is "one billion, one hundred forty-four million, two hundred nineteen thousand, eight hundred twenty-four".