4581327878400 has 2592 divisors, whose sum is σ = 20322986134528. Its totient is φ = 884382105600.

The previous prime is 4581327878389. The next prime is 4581327878431. The reversal of 4581327878400 is 48787231854.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21712454295 + ... + 21712454505.

Almost surely, 2^{4581327878400} is an apocalyptic number.

4581327878400 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 4581327878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10161493067264).

4581327878400 is an abundant number, since it is smaller than the sum of its proper divisors (15741658256128).

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

4581327878400 is a wasteful number, since it uses less digits than its factorization.

4581327878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 57.

The spelling of 4581327878400 in words is "four trillion, five hundred eighty-one billion, three hundred twenty-seven million, eight hundred seventy-eight thousand, four hundred".