4080126960 has 240 divisors, whose sum is σ = 16864795584. Its totient is φ = 860848128.

The previous prime is 4080126943. The next prime is 4080126961. The reversal of 4080126960 is 696210804.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080126961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34384 + ... + 96656.

Almost surely, 2^4080126960 is an apocalyptic number.

4080126960 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 4080126960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432397792).

4080126960 is an abundant number, since it is smaller than the sum of its proper divisors (12784668624).

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

4080126960 is a wasteful number, since it uses less digits than its factorization.

4080126960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62312 (or 62303 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4080126960 is about 63875.8715009040. The cubic root of 4080126960 is about 1597.9305223596.

The spelling of 4080126960 in words is "four billion, eighty million, one hundred twenty-six thousand, nine hundred sixty".