406720296576 has 1024 divisors, whose sum is σ = 1449723225600. Its totient is φ = 110839726080.

The previous prime is 406720296523. The next prime is 406720296589. The reversal of 406720296576 is 675692027604.

406720296576 is a `hidden beast` number, since 4 + 0 + 67 + 2 + 0 + 2 + 9 + 6 + 576 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1745580556 + ... + 1745580788.

Almost surely, 2^406720296576 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 406720296576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724861612800).

406720296576 is an abundant number, since it is smaller than the sum of its proper divisors (1043002929024).

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

406720296576 is a wasteful number, since it uses less digits than its factorization.

406720296576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 406720296576 in words is "four hundred six billion, seven hundred twenty million, two hundred ninety-six thousand, five hundred seventy-six".