412175452416 has 1296 divisors, whose sum is σ = 1558998306432. Its totient is φ = 93799710720.

The previous prime is 412175452411. The next prime is 412175452457. The reversal of 412175452416 is 614254571214.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412175452411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13295982321 + ... + 13295982351.

It is an arithmetic number, because the mean of its divisors is an integer number (1202930792).

Almost surely, 2^412175452416 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 412175452416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779499153216).

412175452416 is an abundant number, since it is smaller than the sum of its proper divisors (1146822854016).

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

412175452416 is a wasteful number, since it uses less digits than its factorization.

412175452416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 92 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The spelling of 412175452416 in words is "four hundred twelve billion, one hundred seventy-five million, four hundred fifty-two thousand, four hundred sixteen".