1838641140 has 192 divisors, whose sum is σ = 6559096320. Its totient is φ = 418867200.

The previous prime is 1838641099. The next prime is 1838641157. The reversal of 1838641140 is 411468381.

It is a happy number.

1838641140 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 641 + 1 + 4 + 0 = 666.

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 = 1838641095 and 1838641104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1515174 + ... + 1516386.

It is an arithmetic number, because the mean of its divisors is an integer number (34161960).

Almost surely, 2^1838641140 is an apocalyptic number.

1838641140 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 1838641140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279548160).

1838641140 is an abundant number, since it is smaller than the sum of its proper divisors (4720455180).

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

1838641140 is a wasteful number, since it uses less digits than its factorization.

1838641140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1838641140 is about 42879.3789600549. The cubic root of 1838641140 is about 1225.0834073432.

The spelling of 1838641140 in words is "one billion, eight hundred thirty-eight million, six hundred forty-one thousand, one hundred forty".