4001500100 has 144 divisors (see below), whose sum is σ = 9682713600. Its totient is φ = 1426014720.

The previous prime is 4001500081. The next prime is 4001500189. The reversal of 4001500100 is 10051004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4826486 + ... + 4827314.

Almost surely, 2^4001500100 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 4001500100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841356800).

4001500100 is an abundant number, since it is smaller than the sum of its proper divisors (5681213500).

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

4001500100 is a wasteful number, since it uses less digits than its factorization.

4001500100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 4001500100 is about 63257.4114234846. The cubic root of 4001500100 is about 1587.5994655268.

Adding to 4001500100 its reverse (10051004), we get a palindrome (4011551104).

The spelling of 4001500100 in words is "four billion, one million, five hundred thousand, one hundred".