36318119040 has 768 divisors, whose sum is σ = 151001061120. Its totient is φ = 8169652224.

The previous prime is 36318119029. The next prime is 36318119141. The reversal of 36318119040 is 4091181363.

36318119040 is a `hidden beast` number, since 3 + 631 + 8 + 1 + 19 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×36318119040² (a number of 22 digits) contains 22 as substring.

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 = 36318118986 and 36318119004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79470492 + ... + 79470948.

It is an arithmetic number, because the mean of its divisors is an integer number (196615965).

Almost surely, 2^36318119040 is an apocalyptic number.

36318119040 is a gapful number since it is divisible by the number (30) 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 36318119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75500530560).

36318119040 is an abundant number, since it is smaller than the sum of its proper divisors (114682942080).

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

36318119040 is an equidigital number, since it uses as much as digits as its factorization.

36318119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 36318119040 in words is "thirty-six billion, three hundred eighteen million, one hundred nineteen thousand, forty".