4001012424 has 96 divisors (see below), whose sum is σ = 11579139000. Its totient is φ = 1243662336.

The previous prime is 4001012423. The next prime is 4001012437. The reversal of 4001012424 is 4242101004.

It can be written as a sum of positive squares in 4 ways, for example, as 3987922500 + 13089924 = 63150^2 + 3618^2 .

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 = 4001012397 and 4001012406.

It is not an unprimeable number, because it can be changed into a prime (4001012423) 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, 118422 + ... + 148410.

Almost surely, 2^4001012424 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 4001012424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5789569500).

4001012424 is an abundant number, since it is smaller than the sum of its proper divisors (7578126576).

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

4001012424 is a wasteful number, since it uses less digits than its factorization.

4001012424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30127 (or 30120 counting only the distinct ones).

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

The square root of 4001012424 is about 63253.5566114665. The cubic root of 4001012424 is about 1587.5349675808.

Adding to 4001012424 its reverse (4242101004), we get a palindrome (8243113428).

The spelling of 4001012424 in words is "four billion, one million, twelve thousand, four hundred twenty-four".