1138150440 has 480 divisors, whose sum is σ = 4558641120. Its totient is φ = 253870848.

The previous prime is 1138150427. The next prime is 1138150441. The reversal of 1138150440 is 440518311.

It is a happy number.

1138150440 is a `hidden beast` number, since 113 + 8 + 1 + 504 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1138150441) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10636867 + ... + 10636973.

It is an arithmetic number, because the mean of its divisors is an integer number (9497169).

Almost surely, 2^1138150440 is an apocalyptic number.

1138150440 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 1138150440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279320560).

1138150440 is an abundant number, since it is smaller than the sum of its proper divisors (3420490680).

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

1138150440 is a wasteful number, since it uses less digits than its factorization.

1138150440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1138150440 is about 33736.4852941144. The cubic root of 1138150440 is about 1044.0786702508.

Adding to 1138150440 its reverse (440518311), we get a palindrome (1578668751).

The spelling of 1138150440 in words is "one billion, one hundred thirty-eight million, one hundred fifty thousand, four hundred forty".