12138441840 has 1280 divisors, whose sum is σ = 54853632000. Its totient is φ = 2403717120.

The previous prime is 12138441839. The next prime is 12138441851. The reversal of 12138441840 is 4814483121.

It is a happy number.

12138441840 is a `hidden beast` number, since 1 + 2 + 138 + 441 + 84 + 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 = 12138441795 and 12138441804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 258264697 + ... + 258264743.

It is an arithmetic number, because the mean of its divisors is an integer number (42854400).

Almost surely, 2^12138441840 is an apocalyptic number.

12138441840 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 12138441840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27426816000).

12138441840 is an abundant number, since it is smaller than the sum of its proper divisors (42715190160).

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

12138441840 is a wasteful number, since it uses less digits than its factorization.

12138441840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12138441840 in words is "twelve billion, one hundred thirty-eight million, four hundred forty-one thousand, eight hundred forty".