1417645041201 has 9 divisors (see below), whose sum is σ = 2047714663449. Its totient is φ = 945094312836.

The previous prime is 1417645041199. The next prime is 1417645041317. The reversal of 1417645041201 is 1021405467141.

The square root of 1417645041201 is 1190649.

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

1417645041201 is a `hidden beast` number, since 1 + 4 + 1 + 7 + 645 + 0 + 4 + 1 + 2 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1417645041201 - 2¹ = 1417645041199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1417645041601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3373506 + ... + 3770388.

Almost surely, 2^{1417645041201} is an apocalyptic number.

1417645041201 is the 1190649-th square number.

1417645041201 is the 595325-th centered octagonal number.

It is an amenable number.

1417645041201 is a deficient number, since it is larger than the sum of its proper divisors (630069622248).

1417645041201 is an frugal number, since it uses more digits than its factorization.

1417645041201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793772 (or 396886 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 1417645041201 by its sum of digits (36), we get a square (51035221483236 = 7143894²).

The spelling of 1417645041201 in words is "one trillion, four hundred seventeen billion, six hundred forty-five million, forty-one thousand, two hundred one".