411103221768 has 324 divisors, whose sum is σ = 1216993779495. Its totient is φ = 125349949440.

The previous prime is 411103221751. The next prime is 411103221791. The reversal of 411103221768 is 867122301114.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

411103221768 is a `hidden beast` number, since 411 + 10 + 3 + 221 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 11803084164 + 399300137604 = 108642^2 + 631902^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=453378.

It is a super-3 number, since 3×411103221768³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4238177496 + ... + 4238177592.

Almost surely, 2^411103221768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411103221768

411103221768 is an abundant number, since it is smaller than the sum of its proper divisors (805890557727).

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

411103221768 is a wasteful number, since it uses less digits than its factorization.

411103221768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 411103221768 in words is "four hundred eleven billion, one hundred three million, two hundred twenty-one thousand, seven hundred sixty-eight".