1007957043072 has 1280 divisors, whose sum is σ = 3834590284800. Its totient is φ = 256197427200.

The previous prime is 1007957043059. The next prime is 1007957043109. The reversal of 1007957043072 is 2703407597001.

1007957043072 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 9 + 570 + 4 + 3 + 0 + 72 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1934658172 + ... + 1934658692.

It is an arithmetic number, because the mean of its divisors is an integer number (2995773660).

Almost surely, 2^{1007957043072} is an apocalyptic number.

1007957043072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007957043072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917295142400).

1007957043072 is an abundant number, since it is smaller than the sum of its proper divisors (2826633241728).

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

1007957043072 is a wasteful number, since it uses less digits than its factorization.

1007957043072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 1007957043072 in words is "one trillion, seven billion, nine hundred fifty-seven million, forty-three thousand, seventy-two".