33301145440 has 48 divisors (see below), whose sum is σ = 81386862480. Its totient is φ = 12861130240.

The previous prime is 33301145413. The next prime is 33301145441. The reversal of 33301145440 is 4454110333.

It is a super-2 number, since 2×33301145440² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33301145399 and 33301145408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33301145441) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3583846 + ... + 3593125.

It is an arithmetic number, because the mean of its divisors is an integer number (1695559635).

Almost surely, 2^33301145440 is an apocalyptic number.

It is an amenable number.

33301145440 is an abundant number, since it is smaller than the sum of its proper divisors (48085717040).

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

33301145440 is a wasteful number, since it uses less digits than its factorization.

33301145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7177015 (or 7177007 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 33301145440 its reverse (4454110333), we get a palindrome (37755255773).

The spelling of 33301145440 in words is "thirty-three billion, three hundred one million, one hundred forty-five thousand, four hundred forty".