1072901631744 has 72 divisors (see below), whose sum is σ = 3172758896720. Its totient is φ = 357633874944.

The previous prime is 1072901631719. The next prime is 1072901631757. The reversal of 1072901631744 is 4471361092701.

It is a happy number.

1072901631744 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 9 + 0 + 1 + 631 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1072901631744² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1072901631744.

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 7 ways as a sum of consecutive naturals, for example, 77604607 + ... + 77618430.

Almost surely, 2^{1072901631744} is an apocalyptic number.

It is an amenable number.

1072901631744 is an abundant number, since it is smaller than the sum of its proper divisors (2099857264976).

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

1072901631744 is an equidigital number, since it uses as much as digits as its factorization.

1072901631744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155223062 (or 155223042 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1072901631744 in words is "one trillion, seventy-two billion, nine hundred one million, six hundred thirty-one thousand, seven hundred forty-four".