420557740075215 has 24 divisors (see below), whose sum is σ = 760660955964000. Its totient is φ = 214545397834944.

The previous prime is 420557740075199. The next prime is 420557740075241. The reversal of 420557740075215 is 512570047755024.

420557740075215 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 5 + 77 + 40 + 0 + 7 + 521 + 5 = 666.

It is not a de Polignac number, because 420557740075215 - 2⁴ = 420557740075199 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203167989340 + ... + 203167991409.

It is an arithmetic number, because the mean of its divisors is an integer number (31694206498500).

Almost surely, 2^{420557740075215} is an apocalyptic number.

420557740075215 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420557740075215 is a deficient number, since it is larger than the sum of its proper divisors (340103215888785).

420557740075215 is a wasteful number, since it uses less digits than its factorization.

420557740075215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406335980783 (or 406335980780 counting only the distinct ones).

The product of its (nonzero) digits is 13720000, while the sum is 54.

The spelling of 420557740075215 in words is "four hundred twenty trillion, five hundred fifty-seven billion, seven hundred forty million, seventy-five thousand, two hundred fifteen".