4054416640 has 36 divisors (see below), whose sum is σ = 9711597924. Its totient is φ = 1621766144.

The previous prime is 4054416629. The next prime is 4054416643. The reversal of 4054416640 is 466144504.

It can be written as a sum of positive squares in 2 ways, for example, as 506070016 + 3548346624 = 22496^2 + 59568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4054416596 and 4054416605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4054416643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1582477 + ... + 1585036.

It is an arithmetic number, because the mean of its divisors is an integer number (269766609).

Almost surely, 2^4054416640 is an apocalyptic number.

4054416640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4054416640 is an abundant number, since it is smaller than the sum of its proper divisors (5657181284).

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

4054416640 is an equidigital number, since it uses as much as digits as its factorization.

4054416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167534 (or 3167520 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 4054416640 is about 63674.3012525461. The cubic root of 4054416640 is about 1594.5670729452.

The spelling of 4054416640 in words is "four billion, fifty-four million, four hundred sixteen thousand, six hundred forty".