4027878400 has 594 divisors, whose sum is σ = 13238399340. Its totient is φ = 1207664640.

The previous prime is 4027878389. The next prime is 4027878431. The reversal of 4027878400 is 48787204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 211993591 + ... + 211993609.

Almost surely, 2^4027878400 is an apocalyptic number.

4027878400 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 4027878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6619199670).

4027878400 is an abundant number, since it is smaller than the sum of its proper divisors (9210520940).

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

4027878400 is a wasteful number, since it uses less digits than its factorization.

4027878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 4027878400 is about 63465.5686179522. The cubic root of 4027878400 is about 1591.0803674992.

The spelling of 4027878400 in words is "four billion, twenty-seven million, eight hundred seventy-eight thousand, four hundred".