4079040000 has 400 divisors, whose sum is σ = 15544624128. Its totient is φ = 930816000.

The previous prime is 4079039999. The next prime is 4079040013. The reversal of 4079040000 is 409704.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6719697 + ... + 6720303.

Almost surely, 2^4079040000 is an apocalyptic number.

4079040000 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 4079040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772312064).

4079040000 is an abundant number, since it is smaller than the sum of its proper divisors (11465584128).

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

4079040000 is an frugal number, since it uses more digits than its factorization.

4079040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 4079040000 is about 63867.3625570995. The cubic root of 4079040000 is about 1597.7886116758.

Adding to 4079040000 its reverse (409704), we get a palindrome (4079449704).

The spelling of 4079040000 in words is "four billion, seventy-nine million, forty thousand".