411957052416 has 1584 divisors, whose sum is σ = 1626815159424. Its totient is φ = 103004504064.

The previous prime is 411957052357. The next prime is 411957052417. The reversal of 411957052416 is 614250759114.

411957052416 is a `hidden beast` number, since 4 + 1 + 19 + 570 + 52 + 4 + 16 = 666.

It is a super-2 number, since 2×411957052416² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411957052417) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3645637576 + ... + 3645637688.

Almost surely, 2^411957052416 is an apocalyptic number.

411957052416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411957052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813407579712).

411957052416 is an abundant number, since it is smaller than the sum of its proper divisors (1214858107008).

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

411957052416 is a wasteful number, since it uses less digits than its factorization.

411957052416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 411957052416 in words is "four hundred eleven billion, nine hundred fifty-seven million, fifty-two thousand, four hundred sixteen".