4089120451416 has 2880 divisors, whose sum is σ = 17259935616000. Its totient is φ = 892379980800.

The previous prime is 4089120451411. The next prime is 4089120451421. The reversal of 4089120451416 is 6141540219804.

4089120451416 is a `hidden beast` number, since 4 + 0 + 8 + 9 + 120 + 4 + 514 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4089120451411) and next prime (4089120451421).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4089120451411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 29418132675 + ... + 29418132813.

It is an arithmetic number, because the mean of its divisors is an integer number (5993033200).

Almost surely, 2^{4089120451416} 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 4089120451416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629967808000).

4089120451416 is an abundant number, since it is smaller than the sum of its proper divisors (13170815164584).

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

4089120451416 is a wasteful number, since it uses less digits than its factorization.

4089120451416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 4089120451416 in words is "four trillion, eighty-nine billion, one hundred twenty million, four hundred fifty-one thousand, four hundred sixteen".