1138418580 has 288 divisors, whose sum is σ = 3745889280. Its totient is φ = 256481280.

The previous prime is 1138418551. The next prime is 1138418581. The reversal of 1138418580 is 858148311.

1138418580 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138418581) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12791176 + ... + 12791264.

It is an arithmetic number, because the mean of its divisors is an integer number (13006560).

Almost surely, 2^1138418580 is an apocalyptic number.

1138418580 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 1138418580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872944640).

1138418580 is an abundant number, since it is smaller than the sum of its proper divisors (2607470700).

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

1138418580 is a wasteful number, since it uses less digits than its factorization.

1138418580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 1138418580 is about 33740.4590958689. The cubic root of 1138418580 is about 1044.1606562702.

The spelling of 1138418580 in words is "one billion, one hundred thirty-eight million, four hundred eighteen thousand, five hundred eighty".