411197957352 has 1152 divisors, whose sum is σ = 1510760160000. Its totient is φ = 104613949440.

The previous prime is 411197957341. The next prime is 411197957353. The reversal of 411197957352 is 253759791114.

411197957352 is a `hidden beast` number, since 4 + 1 + 1 + 19 + 7 + 9 + 573 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411197957353) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4620201724 + ... + 4620201812.

It is an arithmetic number, because the mean of its divisors is an integer number (1311423750).

Almost surely, 2^411197957352 is an apocalyptic number.

411197957352 is a gapful number since it is divisible by the number (42) 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 411197957352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755380080000).

411197957352 is an abundant number, since it is smaller than the sum of its proper divisors (1099562202648).

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

411197957352 is a wasteful number, since it uses less digits than its factorization.

411197957352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 155 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 54.

The spelling of 411197957352 in words is "four hundred eleven billion, one hundred ninety-seven million, nine hundred fifty-seven thousand, three hundred fifty-two".