1139129040 has 320 divisors, whose sum is σ = 4296867840. Its totient is φ = 243855360.

The previous prime is 1139129029. The next prime is 1139129063. The reversal of 1139129040 is 409219311.

1139129040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1139129040² = 2595229939542643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1139128989 and 1139129007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4053700 + ... + 4053980.

It is an arithmetic number, because the mean of its divisors is an integer number (13427712).

Almost surely, 2^1139129040 is an apocalyptic number.

1139129040 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 1139129040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148433920).

1139129040 is an abundant number, since it is smaller than the sum of its proper divisors (3157738800).

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

1139129040 is a wasteful number, since it uses less digits than its factorization.

1139129040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1139129040 is about 33750.9857633818. The cubic root of 1139129040 is about 1044.3778230564.

The spelling of 1139129040 in words is "one billion, one hundred thirty-nine million, one hundred twenty-nine thousand, forty".