33240431040 has 224 divisors, whose sum is σ = 111720660480. Its totient is φ = 8359120896.

The previous prime is 33240431033. The next prime is 33240431051. The reversal of 33240431040 is 4013404233.

It is a super-2 number, since 2×33240431040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 33240431040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183237 + ... + 1211003.

Almost surely, 2^33240431040 is an apocalyptic number.

33240431040 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 33240431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55860330240).

33240431040 is an abundant number, since it is smaller than the sum of its proper divisors (78480229440).

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

33240431040 is a wasteful number, since it uses less digits than its factorization.

33240431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27859 (or 27849 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 33240431040 its reverse (4013404233), we get a palindrome (37253835273).

The spelling of 33240431040 in words is "thirty-three billion, two hundred forty million, four hundred thirty-one thousand, forty".