33042019446240 has 768 divisors, whose sum is σ = 130071612948480. Its totient is φ = 6875709603840.

The previous prime is 33042019446239. The next prime is 33042019446287. The reversal of 33042019446240 is 4264491024033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 33042019446192 and 33042019446201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7116521359 + ... + 7116526001.

It is an arithmetic number, because the mean of its divisors is an integer number (169364079360).

Almost surely, 2^{33042019446240} is an apocalyptic number.

33042019446240 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 33042019446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65035806474240).

33042019446240 is an abundant number, since it is smaller than the sum of its proper divisors (97029593502240).

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

33042019446240 is a wasteful number, since it uses less digits than its factorization.

33042019446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8735 (or 8727 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 33042019446240 in words is "thirty-three trillion, forty-two billion, nineteen million, four hundred forty-six thousand, two hundred forty".