406770973706496 has 1152 divisors, whose sum is σ = 1306210611363840. Its totient is φ = 109939750502400.

The previous prime is 406770973706411. The next prime is 406770973706497. The reversal of 406770973706496 is 694607379077604.

It is not an unprimeable number, because it can be changed into a prime (406770973706497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 918218902051 + ... + 918218902493.

It is an arithmetic number, because the mean of its divisors is an integer number (1133863377920).

Almost surely, 2^{406770973706496} 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 406770973706496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653105305681920).

406770973706496 is an abundant number, since it is smaller than the sum of its proper divisors (899439637657344).

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

406770973706496 is a wasteful number, since it uses less digits than its factorization.

406770973706496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 2016379008, while the sum is 75.

The spelling of 406770973706496 in words is "four hundred six trillion, seven hundred seventy billion, nine hundred seventy-three million, seven hundred six thousand, four hundred ninety-six".