1007041407741 has 24 divisors (see below), whose sum is σ = 1456701640056. Its totient is φ = 670398727680.

The previous prime is 1007041407737. The next prime is 1007041407763. The reversal of 1007041407741 is 1477041407001.

1007041407741 is a `hidden beast` number, since 100 + 70 + 41 + 407 + 7 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 330185241 + 1006711222500 = 18171^2 + 1003350^2 .

It is not a de Polignac number, because 1007041407741 - 2² = 1007041407737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1007041407696 and 1007041407705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007041407341) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18580161 + ... + 18634281.

It is an arithmetic number, because the mean of its divisors is an integer number (60695901669).

Almost surely, 2^{1007041407741} is an apocalyptic number.

It is an amenable number.

1007041407741 is a deficient number, since it is larger than the sum of its proper divisors (449660232315).

1007041407741 is a wasteful number, since it uses less digits than its factorization.

1007041407741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57053 (or 57050 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 1007041407741 in words is "one trillion, seven billion, forty-one million, four hundred seven thousand, seven hundred forty-one".