4054118400 has 468 divisors, whose sum is σ = 14973213528. Its totient is φ = 1047920640.

The previous prime is 4054118371. The next prime is 4054118447. The reversal of 4054118400 is 48114504.

It is a happy number.

4054118400 is a `hidden beast` number, since 40 + 541 + 1 + 84 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48844759 + ... + 48844841.

It is an arithmetic number, because the mean of its divisors is an integer number (31994046).

Almost surely, 2^4054118400 is an apocalyptic number.

4054118400 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 4054118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7486606764).

4054118400 is an abundant number, since it is smaller than the sum of its proper divisors (10919095128).

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

4054118400 is a wasteful number, since it uses less digits than its factorization.

4054118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4054118400 is about 63671.9592913552. The cubic root of 4054118400 is about 1594.5279735805.

The spelling of 4054118400 in words is "four billion, fifty-four million, one hundred eighteen thousand, four hundred".