1042076400705 has 24 divisors (see below), whose sum is σ = 1833224956992. Its totient is φ = 547478943264.

The previous prime is 1042076400679. The next prime is 1042076400709. The reversal of 1042076400705 is 5070046702401.

1042076400705 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 7 + 640 + 0 + 7 + 0 + 5 = 666.

1042076400705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1042076400705 - 2⁶ = 1042076400641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1042076400705.

It is not an unprimeable number, because it can be changed into a prime (1042076400709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172812309 + ... + 172818338.

It is an arithmetic number, because the mean of its divisors is an integer number (76384373208).

Almost surely, 2^{1042076400705} is an apocalyptic number.

1042076400705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1042076400705 is a deficient number, since it is larger than the sum of its proper divisors (791148556287).

1042076400705 is a wasteful number, since it uses less digits than its factorization.

1042076400705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345630725 (or 345630722 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 1042076400705 in words is "one trillion, forty-two billion, seventy-six million, four hundred thousand, seven hundred five".