33064245110340 has 576 divisors, whose sum is σ = 107760901248000. Its totient is φ = 8182282936320.

The previous prime is 33064245110327. The next prime is 33064245110411. The reversal of 33064245110340 is 4301154246033.

33064245110340 is a `hidden beast` number, since 3 + 3 + 0 + 64 + 2 + 451 + 103 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33064245110295 and 33064245110304.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13840201866 + ... + 13840204254.

It is an arithmetic number, because the mean of its divisors is an integer number (187084898000).

Almost surely, 2^{33064245110340} is an apocalyptic number.

33064245110340 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 33064245110340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53880450624000).

33064245110340 is an abundant number, since it is smaller than the sum of its proper divisors (74696656137660).

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

33064245110340 is a wasteful number, since it uses less digits than its factorization.

33064245110340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 33064245110340 its reverse (4301154246033), we get a palindrome (37365399356373).

It can be divided in two parts, 33064245 and 110340, that added together give a triangular number (33174585 = T₈₁₄₅).

The spelling of 33064245110340 in words is "thirty-three trillion, sixty-four billion, two hundred forty-five million, one hundred ten thousand, three hundred forty".