1957981719841 has 81 divisors (see below), whose sum is σ = 2419615504683. Its totient is φ = 1579730019840.

The previous prime is 1957981719833. The next prime is 1957981719877. The reversal of 1957981719841 is 1489171897591.

The square root of 1957981719841 is 1399279.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1592808064225 + 365173655616 = 1262065^2 + 604296^2 .

It is not a de Polignac number, because 1957981719841 - 2³ = 1957981719833 is a prime.

It is a Duffinian number.

Its product of digits (45722880) is a multiple of the sum of its prime divisors (210).

It is not an unprimeable number, because it can be changed into a prime (1957981716841) 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 80 ways as a sum of consecutive naturals, for example, 17327271801 + ... + 17327271913.

Almost surely, 2^{1957981719841} is an apocalyptic number.

1957981719841 is the 1399279-th square number.

1957981719841 is the 699640-th centered octagonal number.

It is an amenable number.

1957981719841 is a deficient number, since it is larger than the sum of its proper divisors (461633784842).

1957981719841 is an frugal number, since it uses more digits than its factorization.

1957981719841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 210 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 70.

The spelling of 1957981719841 in words is "one trillion, nine hundred fifty-seven billion, nine hundred eighty-one million, seven hundred nineteen thousand, eight hundred forty-one".