414928833822 has 128 divisors (see below), whose sum is σ = 963456353280. Its totient is φ = 132243269760.

The previous prime is 414928833811. The next prime is 414928833829. The reversal of 414928833822 is 228338829414.

414928833822 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 288 + 338 + 22 = 666.

It is a super-2 number, since 2×414928833822² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414928833829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44964373 + ... + 44973599.

It is an arithmetic number, because the mean of its divisors is an integer number (7527002760).

Almost surely, 2^414928833822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414928833822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481728176640).

414928833822 is an abundant number, since it is smaller than the sum of its proper divisors (548527519458).

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

414928833822 is a wasteful number, since it uses less digits than its factorization.

414928833822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9663 (or 9657 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 414928833822 in words is "four hundred fourteen billion, nine hundred twenty-eight million, eight hundred thirty-three thousand, eight hundred twenty-two".