4054217076 has 288 divisors, whose sum is σ = 13599452160. Its totient is φ = 1034208000.

The previous prime is 4054217029. The next prime is 4054217099. The reversal of 4054217076 is 6707124504.

4054217076 is a `hidden beast` number, since 40 + 542 + 1 + 7 + 0 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4054217076.

It is a congruent number.

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, 2131726 + ... + 2133626.

It is an arithmetic number, because the mean of its divisors is an integer number (47220320).

Almost surely, 2^4054217076 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 4054217076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799726080).

4054217076 is an abundant number, since it is smaller than the sum of its proper divisors (9545235084).

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

4054217076 is a wasteful number, since it uses less digits than its factorization.

4054217076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4054217076 is about 63672.7341646328. The cubic root of 4054217076 is about 1594.5409102497.

The spelling of 4054217076 in words is "four billion, fifty-four million, two hundred seventeen thousand, seventy-six".