333961004160 has 1536 divisors, whose sum is σ = 1431988346880. Its totient is φ = 72798289920.

The previous prime is 333961004159. The next prime is 333961004197. The reversal of 333961004160 is 61400169333.

333961004160 is a `hidden beast` number, since 3 + 3 + 39 + 610 + 0 + 4 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×333961004160² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3121130827 + ... + 3121130933.

It is an arithmetic number, because the mean of its divisors is an integer number (932284080).

Almost surely, 2^333961004160 is an apocalyptic number.

333961004160 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 333961004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715994173440).

333961004160 is an abundant number, since it is smaller than the sum of its proper divisors (1098027342720).

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

333961004160 is a wasteful number, since it uses less digits than its factorization.

333961004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 333961004160 in words is "three hundred thirty-three billion, nine hundred sixty-one million, four thousand, one hundred sixty".