4000100300 has 144 divisors (see below), whose sum is σ = 10207680000. Its totient is φ = 1359973440.

The previous prime is 4000100287. The next prime is 4000100309. The reversal of 4000100300 is 30010004.

It is not an unprimeable number, because it can be changed into a prime (4000100309) 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, 4767281 + ... + 4768119.

Almost surely, 2^4000100300 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 4000100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103840000).

4000100300 is an abundant number, since it is smaller than the sum of its proper divisors (6207579700).

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

4000100300 is a wasteful number, since it uses less digits than its factorization.

4000100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 4000100300 is about 63246.3461395202. The cubic root of 4000100300 is about 1587.4143198844.

Adding to 4000100300 its reverse (30010004), we get a palindrome (4030110304).

The spelling of 4000100300 in words is "four billion, one hundred thousand, three hundred".