4017492864 has 512 divisors, whose sum is σ = 15291187200. Its totient is φ = 1007769600.

The previous prime is 4017492859. The next prime is 4017492883. The reversal of 4017492864 is 4682947104.

4017492864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4017492864² = 32280497824581844992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8249229 + ... + 8249715.

It is an arithmetic number, because the mean of its divisors is an integer number (29865600).

Almost surely, 2^4017492864 is an apocalyptic number.

4017492864 is a gapful number since it is divisible by the number (44) 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 4017492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645593600).

4017492864 is an abundant number, since it is smaller than the sum of its proper divisors (11273694336).

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

4017492864 is a wasteful number, since it uses less digits than its factorization.

4017492864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4017492864 is about 63383.6955691288. The cubic root of 4017492864 is about 1589.7117028024.

The spelling of 4017492864 in words is "four billion, seventeen million, four hundred ninety-two thousand, eight hundred sixty-four".