4054394880 has 576 divisors, whose sum is σ = 15293350800. Its totient is φ = 990904320.

The previous prime is 4054394831. The next prime is 4054394881. The reversal of 4054394880 is 884934504.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1571963904 + 2482430976 = 39648^2 + 49824^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4054394881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98887660 + ... + 98887700.

Almost surely, 2^4054394880 is an apocalyptic number.

4054394880 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 4054394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7646675400).

4054394880 is an abundant number, since it is smaller than the sum of its proper divisors (11238955920).

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

4054394880 is a wasteful number, since it uses less digits than its factorization.

4054394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4054394880 is about 63674.1303827543. The cubic root of 4054394880 is about 1594.5642202667.

The spelling of 4054394880 in words is "four billion, fifty-four million, three hundred ninety-four thousand, eight hundred eighty".