4011414400040 has 16 divisors (see below), whose sum is σ = 9025682400180. Its totient is φ = 1604565760000.

The previous prime is 4011414399973. The next prime is 4011414400069. The reversal of 4011414400040 is 400044141104.

It can be written as a sum of positive squares in 2 ways, for example, as 3659117545924 + 352296854116 = 1912882^2 + 593546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4011414399979 and 4011414400015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50142679961 + ... + 50142680040.

Almost surely, 2^{4011414400040} is an apocalyptic number.

4011414400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4011414400040 is an abundant number, since it is smaller than the sum of its proper divisors (5014268000140).

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

4011414400040 is a wasteful number, since it uses less digits than its factorization.

4011414400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100285360012 (or 100285360008 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 4011414400040 its reverse (400044141104), we get a palindrome (4411458541144).

The spelling of 4011414400040 in words is "four trillion, eleven billion, four hundred fourteen million, four hundred thousand, forty".