4054202880 has 320 divisors, whose sum is σ = 15954478848. Its totient is φ = 855244800.

The previous prime is 4054202861. The next prime is 4054202899. The reversal of 4054202880 is 882024504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4054202861) and next prime (4054202899).

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 695980 + ... + 701780.

Almost surely, 2^4054202880 is an apocalyptic number.

4054202880 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 4054202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7977239424).

4054202880 is an abundant number, since it is smaller than the sum of its proper divisors (11900275968).

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

4054202880 is a wasteful number, since it uses less digits than its factorization.

4054202880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 4054202880 is about 63672.6226882480. The cubic root of 4054202880 is about 1594.5390491317.

The spelling of 4054202880 in words is "four billion, fifty-four million, two hundred two thousand, eight hundred eighty".