4002560640 has 192 divisors, whose sum is σ = 14884800840. Its totient is φ = 985227264.

The previous prime is 4002560633. The next prime is 4002560641. The reversal of 4002560640 is 460652004.

It is a happy number.

4002560640 is a `hidden beast` number, since 40 + 0 + 2 + 560 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2704832064 + 1297728576 = 52008^2 + 36024^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (4002560641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48154 + ... + 101606.

Almost surely, 2^4002560640 is an apocalyptic number.

4002560640 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 4002560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442400420).

4002560640 is an abundant number, since it is smaller than the sum of its proper divisors (10882240200).

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

4002560640 is a wasteful number, since it uses less digits than its factorization.

4002560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53491 (or 53476 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4002560640 is about 63265.7936012819. The cubic root of 4002560640 is about 1587.7397099325.

The spelling of 4002560640 in words is "four billion, two million, five hundred sixty thousand, six hundred forty".