406714212768 has 48 divisors (see below), whose sum is σ = 1093664448576. Its totient is φ = 132264783360.

The previous prime is 406714212721. The next prime is 406714212799. The reversal of 406714212768 is 867212417604.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51661996 + ... + 51669867.

It is an arithmetic number, because the mean of its divisors is an integer number (22784676012).

Almost surely, 2^406714212768 is an apocalyptic number.

406714212768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

406714212768 is an abundant number, since it is smaller than the sum of its proper divisors (686950235808).

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

406714212768 is a wasteful number, since it uses less digits than its factorization.

406714212768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103331917 (or 103331909 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 406714212768 in words is "four hundred six billion, seven hundred fourteen million, two hundred twelve thousand, seven hundred sixty-eight".