4014324864 has 192 divisors, whose sum is σ = 13265834400. Its totient is φ = 1152368640.

The previous prime is 4014324857. The next prime is 4014324871. The reversal of 4014324864 is 4684234104.

4014324864 is a `hidden beast` number, since 401 + 4 + 3 + 248 + 6 + 4 = 666.

4014324864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4014324857) and next prime (4014324871).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4014324864² = 32229608227457236992, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232432 + ... + 249104.

Almost surely, 2^4014324864 is an apocalyptic number.

4014324864 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 4014324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632917200).

4014324864 is an abundant number, since it is smaller than the sum of its proper divisors (9251509536).

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

4014324864 is a wasteful number, since it uses less digits than its factorization.

4014324864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16723 (or 16708 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4014324864 is about 63358.6999866632. The cubic root of 4014324864 is about 1589.2937364077.

Adding to 4014324864 its reverse (4684234104), we get a palindrome (8698558968).

The spelling of 4014324864 in words is "four billion, fourteen million, three hundred twenty-four thousand, eight hundred sixty-four".