4065090624 has 280 divisors, whose sum is σ = 13858329408. Its totient is φ = 1158935040.

The previous prime is 4065090559. The next prime is 4065090649. The reversal of 4065090624 is 4260905604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8817754 + ... + 8818214.

Almost surely, 2^4065090624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4065090624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929164704).

4065090624 is an abundant number, since it is smaller than the sum of its proper divisors (9793238784).

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

4065090624 is an frugal number, since it uses more digits than its factorization.

4065090624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4065090624 is about 63758.0632077230. The cubic root of 4065090624 is about 1595.9651753383.

The spelling of 4065090624 in words is "four billion, sixty-five million, ninety thousand, six hundred twenty-four".