33042260160 has 1344 divisors, whose sum is σ = 149113036800. Its totient is φ = 6665379840.

The previous prime is 33042260107. The next prime is 33042260201. The reversal of 33042260160 is 6106224033.

33042260160 is a `hidden beast` number, since 3 + 30 + 4 + 22 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×33042260160² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 398099479 + ... + 398099561.

It is an arithmetic number, because the mean of its divisors is an integer number (110947200).

Almost surely, 2^33042260160 is an apocalyptic number.

33042260160 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 33042260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74556518400).

33042260160 is an abundant number, since it is smaller than the sum of its proper divisors (116070776640).

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

33042260160 is a wasteful number, since it uses less digits than its factorization.

33042260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33042260160 its reverse (6106224033), we get a palindrome (39148484193).

The spelling of 33042260160 in words is "thirty-three billion, forty-two million, two hundred sixty thousand, one hundred sixty".