4001111124114 has 32 divisors (see below), whose sum is σ = 9071345062080. Its totient is φ = 1166315792832.

The previous prime is 4001111124097. The next prime is 4001111124151. The reversal of 4001111124114 is 4114211111004.

It is a super-3 number, since 3×4001111124114³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1349901057 + ... + 1349904020.

It is an arithmetic number, because the mean of its divisors is an integer number (283479533190).

Almost surely, 2^{4001111124114} is an apocalyptic number.

4001111124114 is an abundant number, since it is smaller than the sum of its proper divisors (5070233937966).

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

4001111124114 is a wasteful number, since it uses less digits than its factorization.

4001111124114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699805114.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 4001111124114 its reverse (4114211111004), we get a palindrome (8115322235118).

The spelling of 4001111124114 in words is "four trillion, one billion, one hundred eleven million, one hundred twenty-four thousand, one hundred fourteen".