33345052440 has 256 divisors, whose sum is σ = 120586752000. Its totient is φ = 7205967360.

The previous prime is 33345052439. The next prime is 33345052463. The reversal of 33345052440 is 4425054333.

It is a happy number.

It is a super-2 number, since 2×33345052440² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 9111331 + ... + 9114989.

It is an arithmetic number, because the mean of its divisors is an integer number (471042000).

Almost surely, 2^33345052440 is an apocalyptic number.

33345052440 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 33345052440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60293376000).

33345052440 is an abundant number, since it is smaller than the sum of its proper divisors (87241699560).

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

33345052440 is a wasteful number, since it uses less digits than its factorization.

33345052440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

The spelling of 33345052440 in words is "thirty-three billion, three hundred forty-five million, fifty-two thousand, four hundred forty".