4079071920 has 320 divisors, whose sum is σ = 15925837824. Its totient is φ = 838978560.

The previous prime is 4079071883. The next prime is 4079071921. The reversal of 4079071920 is 291709704.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4079071921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1902369 + ... + 1904511.

Almost surely, 2^4079071920 is an apocalyptic number.

4079071920 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 4079071920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7962918912).

4079071920 is an abundant number, since it is smaller than the sum of its proper divisors (11846765904).

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

4079071920 is a wasteful number, since it uses less digits than its factorization.

4079071920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 4079071920 is about 63867.6124495037. The cubic root of 4079071920 is about 1597.7927794277.

The spelling of 4079071920 in words is "four billion, seventy-nine million, seventy-one thousand, nine hundred twenty".