4008262400 has 108 divisors (see below), whose sum is σ = 10061949744. Its totient is φ = 1580544000.

The previous prime is 4008262387. The next prime is 4008262411. The reversal of 4008262400 is 42628004.

4008262400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4008262400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 449990 + ... + 458810.

Almost surely, 2^4008262400 is an apocalyptic number.

4008262400 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 4008262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030974872).

4008262400 is an abundant number, since it is smaller than the sum of its proper divisors (6053687344).

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

4008262400 is an equidigital number, since it uses as much as digits as its factorization.

4008262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8918 (or 8899 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 4008262400 is about 63310.8395142570. The cubic root of 4008262400 is about 1588.4932788161.

The spelling of 4008262400 in words is "four billion, eight million, two hundred sixty-two thousand, four hundred".