33530909040 has 360 divisors, whose sum is σ = 117894077808. Its totient is φ = 8868372480.

The previous prime is 33530909039. The next prime is 33530909077. The reversal of 33530909040 is 4090903533.

It is a happy number.

33530909040 is a `hidden beast` number, since 33 + 530 + 9 + 0 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×33530909040² (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 = 33530908986 and 33530909004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101301675 + ... + 101302005.

Almost surely, 2^33530909040 is an apocalyptic number.

33530909040 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 33530909040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58947038904).

33530909040 is an abundant number, since it is smaller than the sum of its proper divisors (84363168768).

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

33530909040 is an equidigital number, since it uses as much as digits as its factorization.

33530909040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The spelling of 33530909040 in words is "thirty-three billion, five hundred thirty million, nine hundred nine thousand, forty".