406071120576 has 448 divisors, whose sum is σ = 1272385990656. Its totient is φ = 113044377600.

The previous prime is 406071120529. The next prime is 406071120607. The reversal of 406071120576 is 675021170604.

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 63 ways as a sum of consecutive naturals, for example, 127413255 + ... + 127416441.

Almost surely, 2^406071120576 is an apocalyptic number.

406071120576 is a gapful number since it is divisible by the number (46) 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 406071120576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636192995328).

406071120576 is an abundant number, since it is smaller than the sum of its proper divisors (866314870080).

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

406071120576 is a wasteful number, since it uses less digits than its factorization.

406071120576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 406071120576 in words is "four hundred six billion, seventy-one million, one hundred twenty thousand, five hundred seventy-six".