4064192496 has 420 divisors, whose sum is σ = 14817171432. Its totient is φ = 1069915392.

The previous prime is 4064192479. The next prime is 4064192513. The reversal of 4064192496 is 6942914604.

It is an interprime number because it is at equal distance from previous prime (4064192479) and next prime (4064192513).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7429695 + ... + 7430241.

Almost surely, 2^4064192496 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 4064192496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408585716).

4064192496 is an abundant number, since it is smaller than the sum of its proper divisors (10752978936).

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

4064192496 is a wasteful number, since it uses less digits than its factorization.

4064192496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4064192496 is about 63751.0195683175. The cubic root of 4064192496 is about 1595.8476308832.

The spelling of 4064192496 in words is "four billion, sixty-four million, one hundred ninety-two thousand, four hundred ninety-six".