4079499120 has 320 divisors, whose sum is σ = 14945472000. Its totient is φ = 1019879424.

The previous prime is 4079499119. The next prime is 4079499133. The reversal of 4079499120 is 219949704.

It is a happy number.

4079499120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4390816 + ... + 4391744.

It is an arithmetic number, because the mean of its divisors is an integer number (46704600).

Almost surely, 2^4079499120 is an apocalyptic number.

4079499120 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 4079499120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472736000).

4079499120 is an abundant number, since it is smaller than the sum of its proper divisors (10865972880).

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

4079499120 is a wasteful number, since it uses less digits than its factorization.

4079499120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 4079499120 is about 63870.9567800577. The cubic root of 4079499120 is about 1597.8485562695.

The spelling of 4079499120 in words is "four billion, seventy-nine million, four hundred ninety-nine thousand, one hundred twenty".