4085652480 has 704 divisors, whose sum is σ = 16727101440. Its totient is φ = 828112896.

The previous prime is 4085652469. The next prime is 4085652481. The reversal of 4085652480 is 842565804.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4085652481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51717081 + ... + 51717159.

Almost surely, 2^4085652480 is an apocalyptic number.

4085652480 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 4085652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8363550720).

4085652480 is an abundant number, since it is smaller than the sum of its proper divisors (12641448960).

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

4085652480 is a wasteful number, since it uses less digits than its factorization.

4085652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 4085652480 is about 63919.1088798960. The cubic root of 4085652480 is about 1598.6515305047.

The spelling of 4085652480 in words is "four billion, eighty-five million, six hundred fifty-two thousand, four hundred eighty".