333406160640 has 2160 divisors, whose sum is σ = 1502226190080. Its totient is φ = 70230343680.

The previous prime is 333406160629. The next prime is 333406160641. The reversal of 333406160640 is 46061604333.

333406160640 is a `hidden beast` number, since 3 + 3 + 3 + 4 + 0 + 6 + 1 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×333406160640² (a number of 24 digits) contains 22 as substring.

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 = 333406160595 and 333406160604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333406160641) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4567207644 + ... + 4567207716.

It is an arithmetic number, because the mean of its divisors is an integer number (695475088).

Almost surely, 2^333406160640 is an apocalyptic number.

333406160640 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 333406160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751113095040).

333406160640 is an abundant number, since it is smaller than the sum of its proper divisors (1168820029440).

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

333406160640 is a wasteful number, since it uses less digits than its factorization.

333406160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 333406160640 its reverse (46061604333), we get a palindrome (379467764973).

The spelling of 333406160640 in words is "three hundred thirty-three billion, four hundred six million, one hundred sixty thousand, six hundred forty".