412134322050 has 480 divisors, whose sum is σ = 1294323300864. Its totient is φ = 96329088000.

The previous prime is 412134321959. The next prime is 412134322099. The reversal of 412134322050 is 50223431214.

412134322050 is a `hidden beast` number, since 4 + 1 + 21 + 3 + 432 + 205 + 0 = 666.

It is a super-2 number, since 2×412134322050² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 631139524 + ... + 631140176.

Almost surely, 2^412134322050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412134322050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647161650432).

412134322050 is an abundant number, since it is smaller than the sum of its proper divisors (882188978814).

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

412134322050 is a wasteful number, since it uses less digits than its factorization.

412134322050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 412134322050 its reverse (50223431214), we get a palindrome (462357753264).

The spelling of 412134322050 in words is "four hundred twelve billion, one hundred thirty-four million, three hundred twenty-two thousand, fifty".