4033121478912 has 864 divisors, whose sum is σ = 12992509071360. Its totient is φ = 1197941391360.

The previous prime is 4033121478907. The next prime is 4033121478979. The reversal of 4033121478912 is 2198741213304.

4033121478912 is a `hidden beast` number, since 40 + 3 + 3 + 121 + 478 + 9 + 12 = 666.

It is a super-2 number, since 2×4033121478912² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7711513083 + ... + 7711513605.

It is an arithmetic number, because the mean of its divisors is an integer number (15037626240).

Almost surely, 2^{4033121478912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4033121478912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6496254535680).

4033121478912 is an abundant number, since it is smaller than the sum of its proper divisors (8959387592448).

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

4033121478912 is a wasteful number, since it uses less digits than its factorization.

4033121478912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4033121478912 in words is "four trillion, thirty-three billion, one hundred twenty-one million, four hundred seventy-eight thousand, nine hundred twelve".