414628631712 has 216 divisors, whose sum is σ = 1222759946772. Its totient is φ = 133268613120.

The previous prime is 414628631657. The next prime is 414628631761. The reversal of 414628631712 is 217136826414.

414628631712 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 2 + 8 + 631 + 7 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 412734293136 + 1894338576 = 642444^2 + 43524^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81090468 + ... + 81095580.

Almost surely, 2^414628631712 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 414628631712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611379973386).

414628631712 is an abundant number, since it is smaller than the sum of its proper divisors (808131315060).

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

414628631712 is a wasteful number, since it uses less digits than its factorization.

414628631712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484 (or 5442 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 414628631712 in words is "four hundred fourteen billion, six hundred twenty-eight million, six hundred thirty-one thousand, seven hundred twelve".