416828099412 has 96 divisors (see below), whose sum is σ = 1128840572160. Its totient is φ = 132761502720.

The previous prime is 416828099407. The next prime is 416828099461. The reversal of 416828099412 is 214990828614.

It is a happy number.

416828099412 is a `hidden beast` number, since 4 + 1 + 68 + 2 + 80 + 99 + 412 = 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 31 ways as a sum of consecutive naturals, for example, 2279212 + ... + 2455292.

It is an arithmetic number, because the mean of its divisors is an integer number (11758755960).

Almost surely, 2^416828099412 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 416828099412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564420286080).

416828099412 is an abundant number, since it is smaller than the sum of its proper divisors (712012472748).

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

416828099412 is a wasteful number, since it uses less digits than its factorization.

416828099412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177070 (or 177062 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 416828099412 in words is "four hundred sixteen billion, eight hundred twenty-eight million, ninety-nine thousand, four hundred twelve".