4002000130000 has 100 divisors (see below), whose sum is σ = 9702925772980. Its totient is φ = 1598539392000.

The previous prime is 4002000129989. The next prime is 4002000130013. The reversal of 4002000130000 is 310002004.

It can be written as a sum of positive squares in 10 ways, for example, as 3004342756416 + 997657373584 = 1733304^2 + 998828^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6807772 + ... + 7372228.

Almost surely, 2^{4002000130000} is an apocalyptic number.

4002000130000 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 4002000130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851462886490).

4002000130000 is an abundant number, since it is smaller than the sum of its proper divisors (5700925642980).

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

4002000130000 is an equidigital number, since it uses as much as digits as its factorization.

4002000130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565194 (or 565173 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 4002000130000 its reverse (310002004), we get a palindrome (4002310132004).

The spelling of 4002000130000 in words is "four trillion, two billion, one hundred thirty thousand".