4100434002 has 112 divisors (see below), whose sum is σ = 10576742400. Its totient is φ = 1167379776.

The previous prime is 4100433941. The next prime is 4100434003. The reversal of 4100434002 is 2004340014.

4100434002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4100434003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3908374 + ... + 3909422.

It is an arithmetic number, because the mean of its divisors is an integer number (94435200).

Almost surely, 2^4100434002 is an apocalyptic number.

4100434002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100434002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288371200).

4100434002 is an abundant number, since it is smaller than the sum of its proper divisors (6476308398).

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

4100434002 is a wasteful number, since it uses less digits than its factorization.

4100434002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4100434002 is about 64034.6312708990. The cubic root of 4100434002 is about 1600.5771358068.

Adding to 4100434002 its reverse (2004340014), we get a palindrome (6104774016).

The spelling of 4100434002 in words is "four billion, one hundred million, four hundred thirty-four thousand, two".