1139824224 has 240 divisors, whose sum is σ = 4180087296. Its totient is φ = 296006400.

The previous prime is 1139824199. The next prime is 1139824267. The reversal of 1139824224 is 4224289311.

1139824224 is a `hidden beast` number, since 1 + 1 + 398 + 242 + 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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 196729 + ... + 202439.

Almost surely, 2^1139824224 is an apocalyptic number.

1139824224 is a gapful number since it is divisible by the number (14) 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 1139824224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090043648).

1139824224 is an abundant number, since it is smaller than the sum of its proper divisors (3040263072).

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

1139824224 is a wasteful number, since it uses less digits than its factorization.

1139824224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5734 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1139824224 is about 33761.2829140126. The cubic root of 1139824224 is about 1044.5902330301.

The spelling of 1139824224 in words is "one billion, one hundred thirty-nine million, eight hundred twenty-four thousand, two hundred twenty-four".