4054420400 has 60 divisors (see below), whose sum is σ = 10076661600. Its totient is φ = 1565840640.

The previous prime is 4054420303. The next prime is 4054420417. The reversal of 4054420400 is 40244504.

4054420400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163160 + ... + 186359.

It is an arithmetic number, because the mean of its divisors is an integer number (167944360).

Almost surely, 2^4054420400 is an apocalyptic number.

4054420400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4054420400 is an abundant number, since it is smaller than the sum of its proper divisors (6022241200).

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

4054420400 is a wasteful number, since it uses less digits than its factorization.

4054420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349566 (or 349555 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 4054420400 is about 63674.3307777946. The cubic root of 4054420400 is about 1594.5675658703.

Adding to 4054420400 its reverse (40244504), we get a palindrome (4094664904).

The spelling of 4054420400 in words is "four billion, fifty-four million, four hundred twenty thousand, four hundred".