4087982400 has 336 divisors, whose sum is σ = 14053767168. Its totient is φ = 1039104000.

The previous prime is 4087982389. The next prime is 4087982417. The reversal of 4087982400 is 42897804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12350235 + ... + 12350565.

It is an arithmetic number, because the mean of its divisors is an integer number (41826688).

Almost surely, 2^4087982400 is an apocalyptic number.

4087982400 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 4087982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026883584).

4087982400 is an abundant number, since it is smaller than the sum of its proper divisors (9965784768).

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

4087982400 is a wasteful number, since it uses less digits than its factorization.

4087982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 4087982400 is about 63937.3318179606. The cubic root of 4087982400 is about 1598.9553597693.

The spelling of 4087982400 in words is "four billion, eighty-seven million, nine hundred eighty-two thousand, four hundred".