1007956074012 has 96 divisors (see below), whose sum is σ = 2375183720448. Its totient is φ = 332679360000.

The previous prime is 1007956074007. The next prime is 1007956074023. The reversal of 1007956074012 is 2104706597001.

It is a happy number.

It is a super-2 number, since 2×1007956074012² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 550493937 + ... + 550495767.

It is an arithmetic number, because the mean of its divisors is an integer number (24741497088).

Almost surely, 2^{1007956074012} is an apocalyptic number.

1007956074012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007956074012 is an abundant number, since it is smaller than the sum of its proper divisors (1367227646436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1007956074012 is a wasteful number, since it uses less digits than its factorization.

1007956074012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 1007956074012 in words is "one trillion, seven billion, nine hundred fifty-six million, seventy-four thousand, twelve".