4093667424 has 672 divisors, whose sum is σ = 15706462464. Its totient is φ = 1018967040.

The previous prime is 4093667423. The next prime is 4093667471. The reversal of 4093667424 is 4247663904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4093667424² = 33516225956637591552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4093667424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4093667423) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 77238982 + ... + 77239034.

It is an arithmetic number, because the mean of its divisors is an integer number (23372712).

Almost surely, 2^4093667424 is an apocalyptic number.

4093667424 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 4093667424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7853231232).

4093667424 is an abundant number, since it is smaller than the sum of its proper divisors (11612795040).

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

4093667424 is a wasteful number, since it uses less digits than its factorization.

4093667424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 4093667424 is about 63981.7741548326. The cubic root of 4093667424 is about 1599.6962214945.

It can be divided in two parts, 4093667 and 424, that added together give a triangular number (4094091 = T₂₈₆₁).

The spelling of 4093667424 in words is "four billion, ninety-three million, six hundred sixty-seven thousand, four hundred twenty-four".