406894779984 has 640 divisors, whose sum is σ = 1430948413440. Its totient is φ = 96422400000.

The previous prime is 406894779937. The next prime is 406894780009. The reversal of 406894779984 is 489977498604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 677029284 + ... + 677029884.

It is an arithmetic number, because the mean of its divisors is an integer number (2235856896).

Almost surely, 2^406894779984 is an apocalyptic number.

406894779984 is a gapful number since it is divisible by the number (44) 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 406894779984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715474206720).

406894779984 is an abundant number, since it is smaller than the sum of its proper divisors (1024053633456).

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

406894779984 is a wasteful number, since it uses less digits than its factorization.

406894779984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 75.

The spelling of 406894779984 in words is "four hundred six billion, eight hundred ninety-four million, seven hundred seventy-nine thousand, nine hundred eighty-four".