4054244314120 has 768 divisors, whose sum is σ = 12688491110400. Its totient is φ = 1145847306240.

The previous prime is 4054244314097. The next prime is 4054244314157. The reversal of 4054244314120 is 214134424504.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 6266219637 + ... + 6266220283.

It is an arithmetic number, because the mean of its divisors is an integer number (16521472800).

Almost surely, 2^{4054244314120} is an apocalyptic number.

4054244314120 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 4054244314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6344245555200).

4054244314120 is an abundant number, since it is smaller than the sum of its proper divisors (8634246796280).

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

4054244314120 is a wasteful number, since it uses less digits than its factorization.

4054244314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 4054244314120 its reverse (214134424504), we get a palindrome (4268378738624).

The spelling of 4054244314120 in words is "four trillion, fifty-four billion, two hundred forty-four million, three hundred fourteen thousand, one hundred twenty".