420345624105 has 96 divisors (see below), whose sum is σ = 803178934272. Its totient is φ = 201675024000.

The previous prime is 420345624103. The next prime is 420345624109. The reversal of 420345624105 is 501426543024.

420345624105 is a `hidden beast` number, since 4 + 20 + 3 + 4 + 5 + 624 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 420345624105 - 2¹ = 420345624103 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 420345624105.

It is not an unprimeable number, because it can be changed into a prime (420345624103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19647244 + ... + 19668626.

It is an arithmetic number, because the mean of its divisors is an integer number (8366447232).

Almost surely, 2^420345624105 is an apocalyptic number.

420345624105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420345624105 is a deficient number, since it is larger than the sum of its proper divisors (382833310167).

420345624105 is a wasteful number, since it uses less digits than its factorization.

420345624105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21819 (or 21816 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 420345624105 in words is "four hundred twenty billion, three hundred forty-five million, six hundred twenty-four thousand, one hundred five".