412628529456 has 1440 divisors, whose sum is σ = 1543033739520. Its totient is φ = 105681438720.

The previous prime is 412628529431. The next prime is 412628529461. The reversal of 412628529456 is 654925826214.

412628529456 is a `hidden beast` number, since 4 + 1 + 2 + 62 + 8 + 529 + 4 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6158634735 + ... + 6158634801.

It is an arithmetic number, because the mean of its divisors is an integer number (1071551208).

Almost surely, 2^412628529456 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 412628529456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771516869760).

412628529456 is an abundant number, since it is smaller than the sum of its proper divisors (1130405210064).

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

412628529456 is a wasteful number, since it uses less digits than its factorization.

412628529456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

It can be divided in two parts, 4126 and 28529456, that added together give a palindrome (28533582).

The spelling of 412628529456 in words is "four hundred twelve billion, six hundred twenty-eight million, five hundred twenty-nine thousand, four hundred fifty-six".