416473721001 has 48 divisors (see below), whose sum is σ = 676130547456. Its totient is φ = 245106626688.

The previous prime is 416473720913. The next prime is 416473721003. The reversal of 416473721001 is 100127374614.

416473721001 is a `hidden beast` number, since 4 + 1 + 647 + 3 + 7 + 2 + 1 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 416473721001 - 2¹¹ = 416473718953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416473721003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23690851 + ... + 23708423.

It is an arithmetic number, because the mean of its divisors is an integer number (14086053072).

Almost surely, 2^416473721001 is an apocalyptic number.

It is an amenable number.

416473721001 is a deficient number, since it is larger than the sum of its proper divisors (259656826455).

416473721001 is a wasteful number, since it uses less digits than its factorization.

416473721001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26422 (or 26419 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 416473721001 in words is "four hundred sixteen billion, four hundred seventy-three million, seven hundred twenty-one thousand, one".