4100004242304 has 128 divisors (see below), whose sum is σ = 11093566740480. Its totient is φ = 1341375006720.

The previous prime is 4100004242287. The next prime is 4100004242351. The reversal of 4100004242304 is 4032424000014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5742694 + ... + 6417050.

It is an arithmetic number, because the mean of its divisors is an integer number (86668490160).

Almost surely, 2^{4100004242304} 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 4100004242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5546783370240).

4100004242304 is an abundant number, since it is smaller than the sum of its proper divisors (6993562498176).

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

4100004242304 is a wasteful number, since it uses less digits than its factorization.

4100004242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674668 (or 674656 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4100004242304 its reverse (4032424000014), we get a palindrome (8132428242318).

The spelling of 4100004242304 in words is "four trillion, one hundred billion, four million, two hundred forty-two thousand, three hundred four".