33430210040 has 64 divisors (see below), whose sum is σ = 76900168800. Its totient is φ = 13074760192.

The previous prime is 33430210013. The next prime is 33430210043. The reversal of 33430210040 is 4001203433.

It is a super-2 number, since 2×33430210040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33430209994 and 33430210021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33430210043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 594251 + ... + 648069.

Almost surely, 2^33430210040 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 33430210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38450084400).

33430210040 is an abundant number, since it is smaller than the sum of its proper divisors (43469958760).

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

33430210040 is a wasteful number, since it uses less digits than its factorization.

33430210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54176 (or 54172 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 33430210040 its reverse (4001203433), we get a palindrome (37431413473).

The spelling of 33430210040 in words is "thirty-three billion, four hundred thirty million, two hundred ten thousand, forty".