4002011424 has 72 divisors (see below), whose sum is σ = 11398946832. Its totient is φ = 1331867520.

The previous prime is 4002011423. The next prime is 4002011441. The reversal of 4002011424 is 4241102004.

4002011424 is a `hidden beast` number, since 40 + 0 + 201 + 1 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4002011397 and 4002011406.

It is not an unprimeable number, because it can be changed into a prime (4002011423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174379 + ... + 195989.

It is an arithmetic number, because the mean of its divisors is an integer number (158318706).

Almost surely, 2^4002011424 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 4002011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5699473416).

4002011424 is an abundant number, since it is smaller than the sum of its proper divisors (7396935408).

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

4002011424 is a wasteful number, since it uses less digits than its factorization.

4002011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22270 (or 22259 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4002011424 is about 63261.4529077542. The cubic root of 4002011424 is about 1587.6670854288.

Adding to 4002011424 its reverse (4241102004), we get a palindrome (8243113428).

The spelling of 4002011424 in words is "four billion, two million, eleven thousand, four hundred twenty-four".