33105215040 has 112 divisors (see below), whose sum is σ = 105156414528. Its totient is φ = 8824080384.

The previous prime is 33105214981. The next prime is 33105215057. The reversal of 33105215040 is 4051250133.

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 33105215040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2569254 + ... + 2582106.

Almost surely, 2^33105215040 is an apocalyptic number.

33105215040 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 33105215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52578207264).

33105215040 is an abundant number, since it is smaller than the sum of its proper divisors (72051199488).

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

33105215040 is a wasteful number, since it uses less digits than its factorization.

33105215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15556 (or 15546 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 33105215040 its reverse (4051250133), we get a palindrome (37156465173).

The spelling of 33105215040 in words is "thirty-three billion, one hundred five million, two hundred fifteen thousand, forty".