411959750172201 has 216 divisors, whose sum is σ = 763809740165472. Its totient is φ = 213174273312000.

The previous prime is 411959750172199. The next prime is 411959750172203. The reversal of 411959750172201 is 102271057959114.

It is a happy number.

411959750172201 is a `hidden beast` number, since 4 + 1 + 19 + 59 + 7 + 501 + 72 + 2 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (411959750172199) and next prime (411959750172203).

It is not a de Polignac number, because 411959750172201 - 2¹ = 411959750172199 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (411959750172203) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 29503663446 + ... + 29503677408.

Almost surely, 2^{411959750172201} is an apocalyptic number.

It is an amenable number.

411959750172201 is a deficient number, since it is larger than the sum of its proper divisors (351849989993271).

411959750172201 is a wasteful number, since it uses less digits than its factorization.

411959750172201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16113 (or 16092 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 54.

The spelling of 411959750172201 in words is "four hundred eleven trillion, nine hundred fifty-nine billion, seven hundred fifty million, one hundred seventy-two thousand, two hundred one".