411122051344 has 45 divisors (see below), whose sum is σ = 802440785871. Its totient is φ = 204051669120.

The previous prime is 411122051293. The next prime is 411122051363. The reversal of 411122051344 is 443150221114.

It is a happy number.

The square root of 411122051344 is 641188.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6992304400 + 404129746944 = 83620^2 + 635712^2 .

It is a super-2 number, since 2×411122051344² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 402665554 + ... + 402666574.

Almost surely, 2^411122051344 is an apocalyptic number.

411122051344 is the 641188-th square number.

It is an amenable number.

411122051344 is a deficient number, since it is larger than the sum of its proper divisors (391318734527).

411122051344 is an frugal number, since it uses more digits than its factorization.

411122051344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 411122051344 its reverse (443150221114), we get a palindrome (854272272458).

The spelling of 411122051344 in words is "four hundred eleven billion, one hundred twenty-two million, fifty-one thousand, three hundred forty-four".