4007041126416 has 100 divisors (see below), whose sum is σ = 11597963460732. Its totient is φ = 1335631555584.

The previous prime is 4007041126399. The next prime is 4007041126471. The reversal of 4007041126416 is 6146211407004.

It is a happy number.

4007041126416 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 0 + 4 + 1 + 1 + 2 + 641 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1897517270016 + 2109523856400 = 1377504^2 + 1452420^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60174996 + ... + 60241548.

Almost surely, 2^{4007041126416} is an apocalyptic number.

It is an amenable number.

4007041126416 is an abundant number, since it is smaller than the sum of its proper divisors (7590922334316).

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

4007041126416 is a wasteful number, since it uses less digits than its factorization.

4007041126416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113030 (or 113015 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 4007041126416 in words is "four trillion, seven billion, forty-one million, one hundred twenty-six thousand, four hundred sixteen".