4000424100 has 144 divisors (see below), whose sum is σ = 11845491840. Its totient is φ = 1041996800.

The previous prime is 4000424093. The next prime is 4000424101. The reversal of 4000424100 is 14240004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4000424100.

It is not an unprimeable number, because it can be changed into a prime (4000424101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4944496 + ... + 4945304.

It is an arithmetic number, because the mean of its divisors is an integer number (82260360).

Almost surely, 2^4000424100 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 4000424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922745920).

4000424100 is an abundant number, since it is smaller than the sum of its proper divisors (7845067740).

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

4000424100 is a wasteful number, since it uses less digits than its factorization.

4000424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4000424100 is about 63248.9059193912. The cubic root of 4000424100 is about 1587.4571513844.

Adding to 4000424100 its reverse (14240004), we get a palindrome (4014664104).

The spelling of 4000424100 in words is "four billion, four hundred twenty-four thousand, one hundred".