1138991040 has 336 divisors, whose sum is σ = 4319808480. Its totient is φ = 273162240.

The previous prime is 1138991033. The next prime is 1138991059. The reversal of 1138991040 is 401998311.

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

It is a junction number, because it is equal to n+sod(n) for n = 1138990986 and 1138991004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4973646 + ... + 4973874.

Almost surely, 2^1138991040 is an apocalyptic number.

1138991040 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 1138991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159904240).

1138991040 is an abundant number, since it is smaller than the sum of its proper divisors (3180817440).

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

1138991040 is a wasteful number, since it uses less digits than its factorization.

1138991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1138991040 is about 33748.9413167287. The cubic root of 1138991040 is about 1044.3356475711.

The spelling of 1138991040 in words is "one billion, one hundred thirty-eight million, nine hundred ninety-one thousand, forty".