1007742930495 has 96 divisors (see below), whose sum is σ = 1974829478400. Its totient is φ = 436330831104.

The previous prime is 1007742930407. The next prime is 1007742930497. The reversal of 1007742930495 is 5940392477001.

It is a happy number.

It is a Cunningham number, because it is equal to 1003864²-1.

It is not a de Polignac number, because 1007742930495 - 2¹⁶ = 1007742864959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007742930497) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95361702 + ... + 95372268.

It is an arithmetic number, because the mean of its divisors is an integer number (20571140400).

Almost surely, 2^{1007742930495} is an apocalyptic number.

1007742930495 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1007742930495 is a deficient number, since it is larger than the sum of its proper divisors (967086547905).

1007742930495 is a wasteful number, since it uses less digits than its factorization.

1007742930495 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17437 (or 17430 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 1007742930495 in words is "one trillion, seven billion, seven hundred forty-two million, nine hundred thirty thousand, four hundred ninety-five".