33409211996160 has 5376 divisors, whose sum is σ = 171514570106880. Its totient is φ = 6008277565440.

The previous prime is 33409211996113. The next prime is 33409211996161. The reversal of 33409211996160 is 6169911290433.

It is a happy number.

33409211996160 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 9 + 2 + 1 + 19 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×33409211996160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 33409211996097 and 33409211996106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33409211996161) 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 447 ways as a sum of consecutive naturals, for example, 127031224189 + ... + 127031224451.

It is an arithmetic number, because the mean of its divisors is an integer number (31903751880).

Almost surely, 2^{33409211996160} is an apocalyptic number.

33409211996160 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 33409211996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85757285053440).

33409211996160 is an abundant number, since it is smaller than the sum of its proper divisors (138105358110720).

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

33409211996160 is a wasteful number, since it uses less digits than its factorization.

33409211996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 33409211996160 in words is "thirty-three trillion, four hundred nine billion, two hundred eleven million, nine hundred ninety-six thousand, one hundred sixty".