4001568480 has 1008 divisors, whose sum is σ = 18145723680. Its totient is φ = 815173632.

The previous prime is 4001568479. The next prime is 4001568481. The reversal of 4001568480 is 848651004.

It is an interprime number because it is at equal distance from previous prime (4001568479) and next prime (4001568481).

It is a tau number, because it is divible by the number of its divisors (1008).

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 (4001568481) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 137985106 + ... + 137985134.

It is an arithmetic number, because the mean of its divisors is an integer number (18001710).

Almost surely, 2^4001568480 is an apocalyptic number.

4001568480 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 4001568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072861840).

4001568480 is an abundant number, since it is smaller than the sum of its proper divisors (14144155200).

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

4001568480 is a wasteful number, since it uses less digits than its factorization.

4001568480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4001568480 is about 63257.9519112024. The cubic root of 4001568480 is about 1587.6085087547.

The spelling of 4001568480 in words is "four billion, one million, five hundred sixty-eight thousand, four hundred eighty".