18135411840 has 1024 divisors, whose sum is σ = 83349504000. Its totient is φ = 3619012608.

The previous prime is 18135411829. The next prime is 18135411881. The reversal of 18135411840 is 4811453181.

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 = 18135411795 and 18135411804.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29876817 + ... + 29877423.

It is an arithmetic number, because the mean of its divisors is an integer number (81396000).

Almost surely, 2^18135411840 is an apocalyptic number.

18135411840 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 18135411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41674752000).

18135411840 is an abundant number, since it is smaller than the sum of its proper divisors (65214092160).

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

18135411840 is a wasteful number, since it uses less digits than its factorization.

18135411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 18135411840 in words is "eighteen billion, one hundred thirty-five million, four hundred eleven thousand, eight hundred forty".