4101686424 has 224 divisors, whose sum is σ = 13322445840. Its totient is φ = 1169510400.

The previous prime is 4101686411. The next prime is 4101686437. The reversal of 4101686424 is 4246861014.

It is a happy number.

4101686424 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 6 + 8 + 642 + 4 = 666.

4101686424 is digitally balanced in base 2 and base 4, because in such bases 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 (4101686411) and next prime (4101686437).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1088704 + ... + 1092464.

Almost surely, 2^4101686424 is an apocalyptic number.

4101686424 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 4101686424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661222920).

4101686424 is an abundant number, since it is smaller than the sum of its proper divisors (9220759416).

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

4101686424 is a wasteful number, since it uses less digits than its factorization.

4101686424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3813 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4101686424 is about 64044.4097794647. The cubic root of 4101686424 is about 1600.7400774173.

The spelling of 4101686424 in words is "four billion, one hundred one million, six hundred eighty-six thousand, four hundred twenty-four".