4024401696 has 144 divisors (see below), whose sum is σ = 13357903104. Its totient is φ = 1125338112.

The previous prime is 4024401677. The next prime is 4024401697. The reversal of 4024401696 is 6961044204.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4024401696.

It is not an unprimeable number, because it can be changed into a prime (4024401697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73516 + ... + 115988.

It is an arithmetic number, because the mean of its divisors is an integer number (92763216).

Almost surely, 2^4024401696 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 4024401696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678951552).

4024401696 is an abundant number, since it is smaller than the sum of its proper divisors (9333501408).

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

4024401696 is a wasteful number, since it uses less digits than its factorization.

4024401696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42543 (or 42532 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4024401696 is about 63438.1722309210. The cubic root of 4024401696 is about 1590.6224500153.

The spelling of 4024401696 in words is "four billion, twenty-four million, four hundred one thousand, six hundred ninety-six".