4001540126100 has 288 divisors, whose sum is σ = 13684290149376. Its totient is φ = 891774105600.

The previous prime is 4001540126071. The next prime is 4001540126107. The reversal of 4001540126100 is 16210451004.

It is a happy number.

4001540126100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001540126107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1582897 + ... + 3241703.

It is an arithmetic number, because the mean of its divisors is an integer number (47514896352).

Almost surely, 2^{4001540126100} 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 4001540126100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842145074688).

4001540126100 is an abundant number, since it is smaller than the sum of its proper divisors (9682750023276).

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

4001540126100 is a wasteful number, since it uses less digits than its factorization.

4001540126100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658895 (or 1658888 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 4001540126100 its reverse (16210451004), we get a palindrome (4017750577104).

The spelling of 4001540126100 in words is "four trillion, one billion, five hundred forty million, one hundred twenty-six thousand, one hundred".