416542450801 has 9 divisors (see below), whose sum is σ = 423760892601. Its totient is φ = 409444976004.

The previous prime is 416542450769. The next prime is 416542450813. The reversal of 416542450801 is 108054245614.

The square root of 416542450801 is 645401.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 416542450801 - 2⁵ = 416542450769 is a prime.

It is a super-2 number, since 2×416542450801² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416542450201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38073190 + ... + 38084128.

Almost surely, 2^416542450801 is an apocalyptic number.

416542450801 is the 645401-st square number.

416542450801 is the 322701-st centered octagonal number.

It is an amenable number.

416542450801 is a deficient number, since it is larger than the sum of its proper divisors (7218441800).

416542450801 is an frugal number, since it uses more digits than its factorization.

416542450801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21996 (or 10998 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 416542450801 in words is "four hundred sixteen billion, five hundred forty-two million, four hundred fifty thousand, eight hundred one".