4032458979120 has 2560 divisors, whose sum is σ = 18227073392640. Its totient is φ = 803481845760.

The previous prime is 4032458979113. The next prime is 4032458979169. The reversal of 4032458979120 is 219798542304.

4032458979120 is a `hidden beast` number, since 4 + 0 + 32 + 4 + 589 + 7 + 9 + 1 + 20 = 666.

4032458979120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 20893569744 + ... + 20893569936.

It is an arithmetic number, because the mean of its divisors is an integer number (7119950544).

Almost surely, 2^{4032458979120} is an apocalyptic number.

4032458979120 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 4032458979120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9113536696320).

4032458979120 is an abundant number, since it is smaller than the sum of its proper divisors (14194614413520).

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

4032458979120 is a wasteful number, since it uses less digits than its factorization.

4032458979120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4032458979120 in words is "four trillion, thirty-two billion, four hundred fifty-eight million, nine hundred seventy-nine thousand, one hundred twenty".