333982166400 has 288 divisors, whose sum is σ = 1193168241720. Its totient is φ = 88954060800.

The previous prime is 333982166393. The next prime is 333982166437. The reversal of 333982166400 is 4661289333.

333982166400 is a `hidden beast` number, since 3 + 3 + 3 + 9 + 82 + 166 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×333982166400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25366219 + ... + 25379381.

Almost surely, 2^333982166400 is an apocalyptic number.

333982166400 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 333982166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596584120860).

333982166400 is an abundant number, since it is smaller than the sum of its proper divisors (859186075320).

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

333982166400 is a wasteful number, since it uses less digits than its factorization.

333982166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14074 (or 14054 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 333982166400 in words is "three hundred thirty-three billion, nine hundred eighty-two million, one hundred sixty-six thousand, four hundred".