4079436800 has 132 divisors (see below), whose sum is σ = 10645546320. Its totient is φ = 1545707520.

The previous prime is 4079436799. The next prime is 4079436811. The reversal of 4079436800 is 86349704.

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, 482207 + ... + 490593.

Almost surely, 2^4079436800 is an apocalyptic number.

4079436800 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 4079436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322773160).

4079436800 is an abundant number, since it is smaller than the sum of its proper divisors (6566109520).

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

4079436800 is a wasteful number, since it uses less digits than its factorization.

4079436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8436 (or 8413 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 4079436800 is about 63870.4689195249. The cubic root of 4079436800 is about 1597.8404197781.

The spelling of 4079436800 in words is "four billion, seventy-nine million, four hundred thirty-six thousand, eight hundred".