406375710720 has 480 divisors, whose sum is σ = 1514508565248. Its totient is φ = 91112865792.

The previous prime is 406375710679. The next prime is 406375710731. The reversal of 406375710720 is 27017573604.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91174732 + ... + 91179188.

Almost surely, 2^406375710720 is an apocalyptic number.

406375710720 is a gapful number since it is divisible by the number (40) 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 406375710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757254282624).

406375710720 is an abundant number, since it is smaller than the sum of its proper divisors (1108132854528).

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

406375710720 is an equidigital number, since it uses as much as digits as its factorization.

406375710720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 406375710720 in words is "four hundred six billion, three hundred seventy-five million, seven hundred ten thousand, seven hundred twenty".