1016126046441 has 36 divisors (see below), whose sum is σ = 1616974078720. Its totient is φ = 614430867600.

The previous prime is 1016126046433. The next prime is 1016126046451. The reversal of 1016126046441 is 1446406216101.

1016126046441 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 1 + 2 + 6 + 0 + 4 + 644 + 1 = 666.

It is not a de Polignac number, because 1016126046441 - 2³ = 1016126046433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1016126046396 and 1016126046405.

It is not an unprimeable number, because it can be changed into a prime (1016126046451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 584665 + ... + 1540806.

Almost surely, 2^{1016126046441} is an apocalyptic number.

1016126046441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1016126046441 is a deficient number, since it is larger than the sum of its proper divisors (600848032279).

1016126046441 is a wasteful number, since it uses less digits than its factorization.

1016126046441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125938 (or 2125924 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1016126046441 in words is "one trillion, sixteen billion, one hundred twenty-six million, forty-six thousand, four hundred forty-one".