1007642041 has 8 divisors (see below), whose sum is σ = 1154193984. Its totient is φ = 861740880.

The previous prime is 1007642021. The next prime is 1007642059. The reversal of 1007642041 is 1402467001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1007642041 - 2¹¹ = 1007639993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1007641997 and 1007642015.

It is not an unprimeable number, because it can be changed into a prime (1007642021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 159370 + ... + 165571.

It is an arithmetic number, because the mean of its divisors is an integer number (144274248).

Almost surely, 2^1007642041 is an apocalyptic number.

It is an amenable number.

1007642041 is a deficient number, since it is larger than the sum of its proper divisors (146551943).

1007642041 is an equidigital number, since it uses as much as digits as its factorization.

1007642041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325391.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1007642041 is about 31743.3779078409. The cubic root of 1007642041 is about 1002.5408854331.

The spelling of 1007642041 in words is "one billion, seven million, six hundred forty-two thousand, forty-one".