1138885440 has 672 divisors, whose sum is σ = 4803452928. Its totient is φ = 225792000.

The previous prime is 1138885427. The next prime is 1138885459. The reversal of 1138885440 is 445888311.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1138885392 and 1138885401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16040605 + ... + 16040675.

Almost surely, 2^1138885440 is an apocalyptic number.

1138885440 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 1138885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401726464).

1138885440 is an abundant number, since it is smaller than the sum of its proper divisors (3664567488).

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

1138885440 is a wasteful number, since it uses less digits than its factorization.

1138885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 1138885440 is about 33747.3767869445. The cubic root of 1138885440 is about 1044.3033718555.

The spelling of 1138885440 in words is "one billion, one hundred thirty-eight million, eight hundred eighty-five thousand, four hundred forty".