406542265472 has 216 divisors, whose sum is σ = 963558740385. Its totient is φ = 170358644736.

The previous prime is 406542265463. The next prime is 406542265501. The reversal of 406542265472 is 274562245604.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 405483674176 + 1058591296 = 636776^2 + 32536^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=450856.

It is a super-2 number, since 2×406542265472² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4191157328 + ... + 4191157424.

Almost surely, 2^406542265472 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 406542265472

406542265472 is an abundant number, since it is smaller than the sum of its proper divisors (557016474913).

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

406542265472 is an frugal number, since it uses more digits than its factorization.

406542265472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 47.

The spelling of 406542265472 in words is "four hundred six billion, five hundred forty-two million, two hundred sixty-five thousand, four hundred seventy-two".