4185509640 has 512 divisors, whose sum is σ = 15049359360. Its totient is φ = 922521600.

The previous prime is 4185509623. The next prime is 4185509683. The reversal of 4185509640 is 469055814.

It is a junction number, because it is equal to n+sod(n) for n = 4185509592 and 4185509601.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58950805 + ... + 58950875.

It is an arithmetic number, because the mean of its divisors is an integer number (29393280).

Almost surely, 2^4185509640 is an apocalyptic number.

4185509640 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 4185509640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7524679680).

4185509640 is an abundant number, since it is smaller than the sum of its proper divisors (10863849720).

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

4185509640 is a wasteful number, since it uses less digits than its factorization.

4185509640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 4185509640 is about 64695.5148368108. The cubic root of 4185509640 is about 1611.5710190188.

The spelling of 4185509640 in words is "four billion, one hundred eighty-five million, five hundred nine thousand, six hundred forty".