4204074672 has 480 divisors, whose sum is σ = 14963486720. Its totient is φ = 1074954240.

The previous prime is 4204074671. The next prime is 4204074673. The reversal of 4204074672 is 2764704024.

It is a happy number.

4204074672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4204074671) and next prime (4204074673).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4204074671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43340928 + ... + 43341024.

Almost surely, 2^4204074672 is an apocalyptic number.

4204074672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4204074672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481743360).

4204074672 is an abundant number, since it is smaller than the sum of its proper divisors (10759412048).

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

4204074672 is a wasteful number, since it uses less digits than its factorization.

4204074672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 4204074672 is about 64838.8361400789. The cubic root of 4204074672 is about 1613.9502386965.

Adding to 4204074672 its reverse (2764704024), we get a palindrome (6968778696).

The spelling of 4204074672 in words is "four billion, two hundred four million, seventy-four thousand, six hundred seventy-two".