4011411413401 has 64 divisors (see below), whose sum is σ = 4924643328000. Its totient is φ = 3259802145600.

The previous prime is 4011411413357. The next prime is 4011411413431. The reversal of 4011411413401 is 1043141141104.

It is a happy number.

It is not a de Polignac number, because 4011411413401 - 2³¹ = 4009263929753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4011411413431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1104765856 + ... + 1104769486.

It is an arithmetic number, because the mean of its divisors is an integer number (76947552000).

Almost surely, 2^{4011411413401} is an apocalyptic number.

It is an amenable number.

4011411413401 is a deficient number, since it is larger than the sum of its proper divisors (913231914599).

4011411413401 is a wasteful number, since it uses less digits than its factorization.

4011411413401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4875 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 4011411413401 its reverse (1043141141104), we get a palindrome (5054552554505).

The spelling of 4011411413401 in words is "four trillion, eleven billion, four hundred eleven million, four hundred thirteen thousand, four hundred one".