36123582040 has 768 divisors, whose sum is σ = 115831296000. Its totient is φ = 9998069760.

The previous prime is 36123582031. The next prime is 36123582101. The reversal of 36123582040 is 4028532163.

It is a super-2 number, since 2×36123582040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36123581987 and 36123582005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 435223839 + ... + 435223921.

It is an arithmetic number, because the mean of its divisors is an integer number (150822000).

Almost surely, 2^36123582040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36123582040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915648000).

36123582040 is an abundant number, since it is smaller than the sum of its proper divisors (79707713960).

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

36123582040 is a wasteful number, since it uses less digits than its factorization.

36123582040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 36123582040 in words is "thirty-six billion, one hundred twenty-three million, five hundred eighty-two thousand, forty".