33432304240 has 80 divisors (see below), whose sum is σ = 81858153600. Its totient is φ = 12663357696.

The previous prime is 33432304231. The next prime is 33432304253. The reversal of 33432304240 is 4240323433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33432304240² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33432304199 and 33432304208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5047651 + ... + 5054269.

It is an arithmetic number, because the mean of its divisors is an integer number (1023226920).

Almost surely, 2^33432304240 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 33432304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40929076800).

33432304240 is an abundant number, since it is smaller than the sum of its proper divisors (48425849360).

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

33432304240 is a wasteful number, since it uses less digits than its factorization.

33432304240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9974 (or 9968 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 33432304240 its reverse (4240323433), we get a palindrome (37672627673).

The spelling of 33432304240 in words is "thirty-three billion, four hundred thirty-two million, three hundred four thousand, two hundred forty".