4002948560 has 80 divisors (see below), whose sum is σ = 10102020096. Its totient is φ = 1466325504.

The previous prime is 4002948553. The next prime is 4002948569. The reversal of 4002948560 is 658492004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002948569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116927 + ... + 147233.

Almost surely, 2^4002948560 is an apocalyptic number.

4002948560 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 4002948560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051010048).

4002948560 is an abundant number, since it is smaller than the sum of its proper divisors (6099071536).

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

4002948560 is a wasteful number, since it uses less digits than its factorization.

4002948560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30460 (or 30454 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 4002948560 is about 63268.8593227348. The cubic root of 4002948560 is about 1587.7910017718.

The spelling of 4002948560 in words is "four billion, two million, nine hundred forty-eight thousand, five hundred sixty".