412941450528 has 288 divisors, whose sum is σ = 1226354193792. Its totient is φ = 131681894400.

The previous prime is 412941450511. The next prime is 412941450529. The reversal of 412941450528 is 825054149214.

412941450528 is a `hidden beast` number, since 4 + 129 + 4 + 14 + 505 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (412941450529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509175243 + ... + 509176053.

It is an arithmetic number, because the mean of its divisors is an integer number (4258174284).

Almost surely, 2^412941450528 is an apocalyptic number.

412941450528 is a gapful number since it is divisible by the number (48) 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 412941450528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613177096896).

412941450528 is an abundant number, since it is smaller than the sum of its proper divisors (813412743264).

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

412941450528 is a wasteful number, since it uses less digits than its factorization.

412941450528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 412941450528 in words is "four hundred twelve billion, nine hundred forty-one million, four hundred fifty thousand, five hundred twenty-eight".