4078992960 has 672 divisors, whose sum is σ = 17650114560. Its totient is φ = 843042816.

The previous prime is 4078992959. The next prime is 4078993007. The reversal of 4078992960 is 692998704.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 4078992897 and 4078992906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8809689 + ... + 8810151.

Almost surely, 2^4078992960 is an apocalyptic number.

4078992960 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 4078992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8825057280).

4078992960 is an abundant number, since it is smaller than the sum of its proper divisors (13571121600).

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

4078992960 is a wasteful number, since it uses less digits than its factorization.

4078992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 4078992960 is about 63866.9942928270. The cubic root of 4078992960 is about 1597.7824696861.

The spelling of 4078992960 in words is "four billion, seventy-eight million, nine hundred ninety-two thousand, nine hundred sixty".