4000000010000 has 100 divisors (see below), whose sum is σ = 9685368536844. Its totient is φ = 1599840000000.

The previous prime is 4000000009991. The next prime is 4000000010003. The reversal of 4000000010000 is 100000004.

It can be written as a sum of positive squares in 10 ways, for example, as 3707565654016 + 292434355984 = 1925504^2 + 540772^2 .

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 (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (4000000010003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 197999900 + ... + 198020100.

It is the magic constant of a 20000 × 20000 magic square.

Almost surely, 2^{4000000010000} is an apocalyptic number.

4000000010000 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 4000000010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842684268422).

4000000010000 is an abundant number, since it is smaller than the sum of its proper divisors (5685368526844).

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

4000000010000 is a wasteful number, since it uses less digits than its factorization.

4000000010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40030 (or 40009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 4000000010000 its reverse (100000004), we get a palindrome (4000100010004).

The spelling of 4000000010000 in words is "four trillion, ten thousand".