420721457461417 has 16 divisors (see below), whose sum is σ = 488975520199680. Its totient is φ = 354505179800592.

The previous prime is 420721457461381. The next prime is 420721457461429. The reversal of 420721457461417 is 714164754127024.

It is a cyclic number.

It is not a de Polignac number, because 420721457461417 - 2⁴³ = 411925364439209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420722457461417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161580348 + ... + 164163490.

It is an arithmetic number, because the mean of its divisors is an integer number (30560970012480).

Almost surely, 2^{420721457461417} is an apocalyptic number.

It is an amenable number.

420721457461417 is a deficient number, since it is larger than the sum of its proper divisors (68254062738263).

420721457461417 is a wasteful number, since it uses less digits than its factorization.

420721457461417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977572.

The product of its (nonzero) digits is 10536960, while the sum is 55.

The spelling of 420721457461417 in words is "four hundred twenty trillion, seven hundred twenty-one billion, four hundred fifty-seven million, four hundred sixty-one thousand, four hundred seventeen".