4084962560 has 144 divisors (see below), whose sum is σ = 11255212416. Its totient is φ = 1391468544.

The previous prime is 4084962529. The next prime is 4084962571. The reversal of 4084962560 is 652694804.

4084962560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1459082 + ... + 1461878.

Almost surely, 2^4084962560 is an apocalyptic number.

4084962560 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 4084962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627606208).

4084962560 is an abundant number, since it is smaller than the sum of its proper divisors (7170249856).

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

4084962560 is a wasteful number, since it uses less digits than its factorization.

4084962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 4084962560 is about 63913.7118308740. The cubic root of 4084962560 is about 1598.5615404923.

The spelling of 4084962560 in words is "four billion, eighty-four million, nine hundred sixty-two thousand, five hundred sixty".