33086444040 has 192 divisors, whose sum is σ = 118627694640. Its totient is φ = 7945666560.

The previous prime is 33086444009. The next prime is 33086444047. The reversal of 33086444040 is 4044468033.

33086444040 is a `hidden beast` number, since 3 + 3 + 0 + 8 + 644 + 4 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2770759044 + 30315684996 = 52638^2 + 174114^2 .

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 = 33086443986 and 33086444004.

It is not an unprimeable number, because it can be changed into a prime (33086444047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105664 + ... + 278096.

Almost surely, 2^33086444040 is an apocalyptic number.

33086444040 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 33086444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59313847320).

33086444040 is an abundant number, since it is smaller than the sum of its proper divisors (85541250600).

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

33086444040 is a wasteful number, since it uses less digits than its factorization.

33086444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172504 (or 172497 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 33086444040 in words is "thirty-three billion, eighty-six million, four hundred forty-four thousand, forty".