33424155040 has 96 divisors (see below), whose sum is σ = 79746947280. Its totient is φ = 13237862400.

The previous prime is 33424154989. The next prime is 33424155041. The reversal of 33424155040 is 4055142433.

It can be written as a sum of positive squares in 8 ways, for example, as 1997374864 + 31426780176 = 44692^2 + 177276^2 .

It is a super-2 number, since 2×33424155040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33424154993 and 33424155011.

It is not an unprimeable number, because it can be changed into a prime (33424155041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6976966 + ... + 6981754.

Almost surely, 2^33424155040 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 33424155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39873473640).

33424155040 is an abundant number, since it is smaller than the sum of its proper divisors (46322792240).

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

33424155040 is a wasteful number, since it uses less digits than its factorization.

33424155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 33424155040 its reverse (4055142433), we get a palindrome (37479297473).

The spelling of 33424155040 in words is "thirty-three billion, four hundred twenty-four million, one hundred fifty-five thousand, forty".