1139406240 has 192 divisors, whose sum is σ = 4234567680. Its totient is φ = 252011520.

The previous prime is 1139406239. The next prime is 1139406241. The reversal of 1139406240 is 426049311.

1139406240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1139406239) and next prime (1139406241).

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 = 1139406198 and 1139406207.

It is not an unprimeable number, because it can be changed into a prime (1139406241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98691 + ... + 109629.

It is an arithmetic number, because the mean of its divisors is an integer number (22055040).

Almost surely, 2^1139406240 is an apocalyptic number.

1139406240 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 1139406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117283840).

1139406240 is an abundant number, since it is smaller than the sum of its proper divisors (3095161440).

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

1139406240 is a wasteful number, since it uses less digits than its factorization.

1139406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10995 (or 10987 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1139406240 is about 33755.0920603100. The cubic root of 1139406240 is about 1044.4625304784.

The spelling of 1139406240 in words is "one billion, one hundred thirty-nine million, four hundred six thousand, two hundred forty".