4001300000 has 72 divisors (see below), whose sum is σ = 9846565092. Its totient is φ = 1600480000.

The previous prime is 4001299997. The next prime is 4001300011. The reversal of 4001300000 is 31004.

It can be written as a sum of positive squares in 6 ways, for example, as 578113936 + 3423186064 = 24044^2 + 58508^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79994 + ... + 120006.

Almost surely, 2^4001300000 is an apocalyptic number.

4001300000 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 4001300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923282546).

4001300000 is an abundant number, since it is smaller than the sum of its proper divisors (5845265092).

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

4001300000 is an frugal number, since it uses more digits than its factorization.

4001300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40048 (or 40020 counting only the distinct ones).

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

The square root of 4001300000 is about 63255.8297708599. The cubic root of 4001300000 is about 1587.5730017889.

Adding to 4001300000 its reverse (31004), we get a palindrome (4001331004).

The spelling of 4001300000 in words is "four billion, one million, three hundred thousand".