4001121110140 has 288 divisors, whose sum is σ = 10824434611200. Its totient is φ = 1228268321280.

The previous prime is 4001121110113. The next prime is 4001121110159. The reversal of 4001121110140 is 410111211004.

4001121110140 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356823174 + ... + 356834386.

It is an arithmetic number, because the mean of its divisors is an integer number (37584842400).

Almost surely, 2^{4001121110140} 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 4001121110140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5412217305600).

4001121110140 is an abundant number, since it is smaller than the sum of its proper divisors (6823313501060).

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

4001121110140 is a wasteful number, since it uses less digits than its factorization.

4001121110140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11745 (or 11736 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 4001121110140 its reverse (410111211004), we get a palindrome (4411232321144).

The spelling of 4001121110140 in words is "four trillion, one billion, one hundred twenty-one million, one hundred ten thousand, one hundred forty".