33124413023240 has 256 divisors, whose sum is σ = 98395578040320. Its totient is φ = 9716256829440.

The previous prime is 33124413023231. The next prime is 33124413023267. The reversal of 33124413023240 is 4232031442133.

It is a junction number, because it is equal to n+sod(n) for n = 33124413023197 and 33124413023206.

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 63 ways as a sum of consecutive naturals, for example, 727938329 + ... + 727983831.

It is an arithmetic number, because the mean of its divisors is an integer number (384357726720).

Almost surely, 2^{33124413023240} 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 33124413023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49197789020160).

33124413023240 is an abundant number, since it is smaller than the sum of its proper divisors (65271165017080).

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

33124413023240 is a wasteful number, since it uses less digits than its factorization.

33124413023240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59452 (or 59448 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 33124413023240 its reverse (4232031442133), we get a palindrome (37356444465373).

The spelling of 33124413023240 in words is "thirty-three trillion, one hundred twenty-four billion, four hundred thirteen million, twenty-three thousand, two hundred forty".