4001211643140 has 384 divisors, whose sum is σ = 13099342878720. Its totient is φ = 1012743254016.

The previous prime is 4001211643111. The next prime is 4001211643159. The reversal of 4001211643140 is 413461121004.

4001211643140 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 2 + 1 + 1 + 643 + 14 + 0 = 666.

It is a super-2 number, since 2×4001211643140² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 293918974 + ... + 293932586.

It is an arithmetic number, because the mean of its divisors is an integer number (34112872080).

Almost surely, 2^{4001211643140} 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 4001211643140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549671439360).

4001211643140 is an abundant number, since it is smaller than the sum of its proper divisors (9098131235580).

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

4001211643140 is a wasteful number, since it uses less digits than its factorization.

4001211643140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14028 (or 14020 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4001211643140 its reverse (413461121004), we get a palindrome (4414672764144).

The spelling of 4001211643140 in words is "four trillion, one billion, two hundred eleven million, six hundred forty-three thousand, one hundred forty".