414848429226 has 576 divisors, whose sum is σ = 1318656568320. Its totient is φ = 96057239040.

The previous prime is 414848429213. The next prime is 414848429251. The reversal of 414848429226 is 622924848414.

414848429226 is a `hidden beast` number, since 41 + 484 + 84 + 29 + 2 + 26 = 666.

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

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, 84608691 + ... + 84613593.

It is an arithmetic number, because the mean of its divisors is an integer number (2289334320).

Almost surely, 2^414848429226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414848429226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659328284160).

414848429226 is an abundant number, since it is smaller than the sum of its proper divisors (903808139094).

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

414848429226 is a wasteful number, since it uses less digits than its factorization.

414848429226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4981 (or 4962 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 414848429226 in words is "four hundred fourteen billion, eight hundred forty-eight million, four hundred twenty-nine thousand, two hundred twenty-six".