4054080000 has 400 divisors, whose sum is σ = 13959481536. Its totient is φ = 1044480000.

The previous prime is 4054079933. The next prime is 4054080053. The reversal of 4054080000 is 804504.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39359949 + ... + 39360051.

Almost surely, 2^4054080000 is an apocalyptic number.

4054080000 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 4054080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979740768).

4054080000 is an abundant number, since it is smaller than the sum of its proper divisors (9905401536).

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

4054080000 is an equidigital number, since it uses as much as digits as its factorization.

4054080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4054080000 is about 63671.6577450281. The cubic root of 4054080000 is about 1594.5229391882.

Adding to 4054080000 its reverse (804504), we get a palindrome (4054884504).

The spelling of 4054080000 in words is "four billion, fifty-four million, eighty thousand".