33300442223240 has 128 divisors (see below), whose sum is σ = 76286480054400. Its totient is φ = 13079645061120.

The previous prime is 33300442223227. The next prime is 33300442223317. The reversal of 33300442223240 is 4232224400333.

It is a happy number.

It is a super-2 number, since 2×33300442223240² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33300442223197 and 33300442223206.

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, 1114942787 + ... + 1114972653.

It is an arithmetic number, because the mean of its divisors is an integer number (595988125425).

Almost surely, 2^{33300442223240} 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 33300442223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38143240027200).

33300442223240 is an abundant number, since it is smaller than the sum of its proper divisors (42986037831160).

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

33300442223240 is a wasteful number, since it uses less digits than its factorization.

33300442223240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31255 (or 31251 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 33300442223240 its reverse (4232224400333), we get a palindrome (37532666623573).

The spelling of 33300442223240 in words is "thirty-three trillion, three hundred billion, four hundred forty-two million, two hundred twenty-three thousand, two hundred forty".