4080274560 has 320 divisors, whose sum is σ = 15047366400. Its totient is φ = 1052559360.

The previous prime is 4080274559. The next prime is 4080274571. The reversal of 4080274560 is 654720804.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1605771 + ... + 1608309.

It is an arithmetic number, because the mean of its divisors is an integer number (47023020).

Almost surely, 2^4080274560 is an apocalyptic number.

4080274560 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 4080274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523683200).

4080274560 is an abundant number, since it is smaller than the sum of its proper divisors (10967091840).

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

4080274560 is a wasteful number, since it uses less digits than its factorization.

4080274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4080274560 is about 63877.0268562963. The cubic root of 4080274560 is about 1597.9497906899.

The spelling of 4080274560 in words is "four billion, eighty million, two hundred seventy-four thousand, five hundred sixty".