1139829408 has 216 divisors, whose sum is σ = 3459505140. Its totient is φ = 369515520.

The previous prime is 1139829407. The next prime is 1139829419. The reversal of 1139829408 is 8049289311.

It can be written as a sum of positive squares in 2 ways, for example, as 907937424 + 231891984 = 30132^2 + 15228^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×1139829408² = 2598422158683260928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1139829407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 12807028 + ... + 12807116.

Almost surely, 2^1139829408 is an apocalyptic number.

1139829408 is a gapful number since it is divisible by the number (18) 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 1139829408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729752570).

1139829408 is an abundant number, since it is smaller than the sum of its proper divisors (2319675732).

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

1139829408 is an frugal number, since it uses more digits than its factorization.

1139829408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1139829408 is about 33761.3596882590. The cubic root of 1139829408 is about 1044.5918166508.

The spelling of 1139829408 in words is "one billion, one hundred thirty-nine million, eight hundred twenty-nine thousand, four hundred eight".