4085736480 has 576 divisors, whose sum is σ = 17101663488. Its totient is φ = 867041280.

The previous prime is 4085736409. The next prime is 4085736493. The reversal of 4085736480 is 846375804.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19363575 + ... + 19363785.

It is an arithmetic number, because the mean of its divisors is an integer number (29690388).

Almost surely, 2^4085736480 is an apocalyptic number.

4085736480 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 4085736480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8550831744).

4085736480 is an abundant number, since it is smaller than the sum of its proper divisors (13015927008).

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

4085736480 is a wasteful number, since it uses less digits than its factorization.

4085736480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4085736480 is about 63919.7659570183. The cubic root of 4085736480 is about 1598.6624863891.

The spelling of 4085736480 in words is "four billion, eighty-five million, seven hundred thirty-six thousand, four hundred eighty".