4004145200 has 120 divisors (see below), whose sum is σ = 10571615040. Its totient is φ = 1445356800.

The previous prime is 4004145149. The next prime is 4004145203. The reversal of 4004145200 is 25414004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4004145203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608327 + ... + 614873.

It is an arithmetic number, because the mean of its divisors is an integer number (88096792).

Almost surely, 2^4004145200 is an apocalyptic number.

4004145200 is a gapful number since it is divisible by the number (40) 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 4004145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285807520).

4004145200 is an abundant number, since it is smaller than the sum of its proper divisors (6567469840).

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

4004145200 is a wasteful number, since it uses less digits than its factorization.

4004145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715 (or 6704 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4004145200 is about 63278.3154010914. The cubic root of 4004145200 is about 1587.9492038986.

Adding to 4004145200 its reverse (25414004), we get a palindrome (4029559204).

The spelling of 4004145200 in words is "four billion, four million, one hundred forty-five thousand, two hundred".