4004100372 has 96 divisors (see below), whose sum is σ = 10104877440. Its totient is φ = 1229414400.

The previous prime is 4004100311. The next prime is 4004100377. The reversal of 4004100372 is 2730014004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004100377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3333372 + ... + 3334572.

It is an arithmetic number, because the mean of its divisors is an integer number (105259140).

Almost surely, 2^4004100372 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 4004100372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052438720).

4004100372 is an abundant number, since it is smaller than the sum of its proper divisors (6100777068).

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

4004100372 is a wasteful number, since it uses less digits than its factorization.

4004100372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 4004100372 is about 63277.9611871305. The cubic root of 4004100372 is about 1587.9432779685.

Adding to 4004100372 its reverse (2730014004), we get a palindrome (6734114376).

The spelling of 4004100372 in words is "four billion, four million, one hundred thousand, three hundred seventy-two".