4082400000 has 756 divisors, whose sum is σ = 17452726704. Its totient is φ = 933120000.

The previous prime is 4082399969. The next prime is 4082400001. The reversal of 4082400000 is 42804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (4082400001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 583199997 + ... + 583200003.

Almost surely, 2^4082400000 is an apocalyptic number.

4082400000 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 4082400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8726363352).

4082400000 is an abundant number, since it is smaller than the sum of its proper divisors (13370326704).

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

4082400000 is an frugal number, since it uses more digits than its factorization.

4082400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4082400000 is about 63893.6616574759. The cubic root of 4082400000 is about 1598.2272031367.

Adding to 4082400000 its reverse (42804), we get a palindrome (4082442804).

The spelling of 4082400000 in words is "four billion, eighty-two million, four hundred thousand".