4054314880 has 512 divisors, whose sum is σ = 13042944000. Its totient is φ = 1192181760.

The previous prime is 4054314877. The next prime is 4054314907. The reversal of 4054314880 is 884134504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55538524 + ... + 55538596.

It is an arithmetic number, because the mean of its divisors is an integer number (25474500).

Almost surely, 2^4054314880 is an apocalyptic number.

4054314880 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 4054314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521472000).

4054314880 is an abundant number, since it is smaller than the sum of its proper divisors (8988629120).

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

4054314880 is a wasteful number, since it uses less digits than its factorization.

4054314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 4054314880 is about 63673.5021810486. The cubic root of 4054314880 is about 1594.5537323904.

The spelling of 4054314880 in words is "four billion, fifty-four million, three hundred fourteen thousand, eight hundred eighty".