4080078960 has 80 divisors (see below), whose sum is σ = 12669334944. Its totient is φ = 1086206976.

The previous prime is 4080078949. The next prime is 4080078973. The reversal of 4080078960 is 698700804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133254 + ... + 160986.

Almost surely, 2^4080078960 is an apocalyptic number.

4080078960 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 4080078960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334667472).

4080078960 is an abundant number, since it is smaller than the sum of its proper divisors (8589255984).

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

4080078960 is a wasteful number, since it uses less digits than its factorization.

4080078960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28362 (or 28356 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 4080078960 is about 63875.4957710701. The cubic root of 4080078960 is about 1597.9242561359.

The spelling of 4080078960 in words is "four billion, eighty million, seventy-eight thousand, nine hundred sixty".