4002560840 has 64 divisors (see below), whose sum is σ = 9268637760. Its totient is φ = 1554474240.

The previous prime is 4002560827. The next prime is 4002560857. The reversal of 4002560840 is 480652004.

4002560840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771455 + ... + 776625.

It is an arithmetic number, because the mean of its divisors is an integer number (144822465).

Almost surely, 2^4002560840 is an apocalyptic number.

4002560840 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 4002560840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634318880).

4002560840 is an abundant number, since it is smaller than the sum of its proper divisors (5266076920).

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

4002560840 is a wasteful number, since it uses less digits than its factorization.

4002560840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 4002560840 is about 63265.7951819148. The cubic root of 4002560840 is about 1587.7397363779.

The spelling of 4002560840 in words is "four billion, two million, five hundred sixty thousand, eight hundred forty".