4294966032000 has 1920 divisors, whose sum is σ = 18963947059200. Its totient is φ = 960151449600.

The previous prime is 4294966031959. The next prime is 4294966032013. The reversal of 4294966032000 is 2306694924.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×4294966032000³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2984687281 + ... + 2984688719.

It is an arithmetic number, because the mean of its divisors is an integer number (9877055760).

Almost surely, 2^{4294966032000} is an apocalyptic number.

4294966032000 is a gapful number since it is divisible by the number (40) 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 4294966032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9481973529600).

4294966032000 is an abundant number, since it is smaller than the sum of its proper divisors (14668981027200).

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

4294966032000 is a wasteful number, since it uses less digits than its factorization.

4294966032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1503 counting only the distinct ones).

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

The spelling of 4294966032000 in words is "four trillion, two hundred ninety-four billion, nine hundred sixty-six million, thirty-two thousand".