4385100420 has 144 divisors (see below), whose sum is σ = 14087848320. Its totient is φ = 1101754368.

The previous prime is 4385100413. The next prime is 4385100427. The reversal of 4385100420 is 240015834.

It is an interprime number because it is at equal distance from previous prime (4385100413) and next prime (4385100427).

It is not an unprimeable number, because it can be changed into a prime (4385100427) 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, 269476 + ... + 285284.

It is an arithmetic number, because the mean of its divisors is an integer number (97832280).

Almost surely, 2^4385100420 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 4385100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7043924160).

4385100420 is an abundant number, since it is smaller than the sum of its proper divisors (9702747900).

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

4385100420 is a wasteful number, since it uses less digits than its factorization.

4385100420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15914 (or 15909 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4385100420 is about 66220.0907580169. The cubic root of 4385100420 is about 1636.7908217867.

The spelling of 4385100420 in words is "four billion, three hundred eighty-five million, one hundred thousand, four hundred twenty".