1072251963744 has 144 divisors (see below), whose sum is σ = 3146147149824. Its totient is φ = 319280832000.

The previous prime is 1072251963737. The next prime is 1072251963749. The reversal of 1072251963744 is 4473691522701.

It is a happy number.

It is a super-2 number, since 2×1072251963744² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072251963749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563032 + ... + 1568919.

It is an arithmetic number, because the mean of its divisors is an integer number (21848244096).

Almost surely, 2^{1072251963744} is an apocalyptic number.

It is an amenable number.

1072251963744 is an abundant number, since it is smaller than the sum of its proper divisors (2073895186080).

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

1072251963744 is a wasteful number, since it uses less digits than its factorization.

1072251963744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132021 (or 2132000 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 1072251963744 in words is "one trillion, seventy-two billion, two hundred fifty-one million, nine hundred sixty-three thousand, seven hundred forty-four".