1138404456 has 576 divisors, whose sum is σ = 4257489600. Its totient is φ = 282175488.

The previous prime is 1138404433. The next prime is 1138404461. The reversal of 1138404456 is 6544048311.

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 1138404456.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30767670 + ... + 30767706.

It is an arithmetic number, because the mean of its divisors is an integer number (7391475).

Almost surely, 2^1138404456 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 1138404456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128744800).

1138404456 is an abundant number, since it is smaller than the sum of its proper divisors (3119085144).

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

1138404456 is a wasteful number, since it uses less digits than its factorization.

1138404456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1138404456 is about 33740.2497916065. The cubic root of 1138404456 is about 1044.1563380618.

The spelling of 1138404456 in words is "one billion, one hundred thirty-eight million, four hundred four thousand, four hundred fifty-six".