397756001041 has 45 divisors (see below), whose sum is σ = 473999054139. Its totient is φ = 333755326800.

The previous prime is 397756000997. The next prime is 397756001053. The reversal of 397756001041 is 140100657793.

The square root of 397756001041 is 630679.

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

It can be written as a sum of positive squares in only one way, i.e., 12934285441 + 384821715600 = 113729^2 + 620340^2 .

It is not a de Polignac number, because 397756001041 - 2¹¹ = 397755998993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (397756001081) 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 44 ways as a sum of consecutive naturals, for example, 1885099426 + ... + 1885099636.

Almost surely, 2^397756001041 is an apocalyptic number.

397756001041 is the 630679-th square number.

397756001041 is the 315340-th centered octagonal number.

It is an amenable number.

397756001041 is a deficient number, since it is larger than the sum of its proper divisors (76243053098).

397756001041 is an frugal number, since it uses more digits than its factorization.

397756001041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The spelling of 397756001041 in words is "three hundred ninety-seven billion, seven hundred fifty-six million, one thousand, forty-one".