4119102288054 has 256 divisors, whose sum is σ = 10497973248000. Its totient is φ = 1186737505920.

The previous prime is 4119102288053. The next prime is 4119102288089. The reversal of 4119102288054 is 4508822019114.

4119102288054 is a `hidden beast` number, since 411 + 9 + 1 + 0 + 228 + 8 + 0 + 5 + 4 = 666.

It is a super-2 number, since 2×4119102288054² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4119102288053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 398707669 + ... + 398717999.

It is an arithmetic number, because the mean of its divisors is an integer number (41007708000).

Almost surely, 2^{4119102288054} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4119102288054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248986624000).

4119102288054 is an abundant number, since it is smaller than the sum of its proper divisors (6378870959946).

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

4119102288054 is a wasteful number, since it uses less digits than its factorization.

4119102288054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10720 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 4119102288054 in words is "four trillion, one hundred nineteen billion, one hundred two million, two hundred eighty-eight thousand, fifty-four".