420414312415144 has 64 divisors (see below), whose sum is σ = 793835673696000. Its totient is φ = 208730548776960.

The previous prime is 420414312415133. The next prime is 420414312415169. The reversal of 420414312415144 is 441514213414024.

It is a junction number, because it is equal to n+sod(n) for n = 420414312415097 and 420414312415106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990207384 + ... + 990631864.

It is an arithmetic number, because the mean of its divisors is an integer number (12403682401500).

Almost surely, 2^{420414312415144} is an apocalyptic number.

It is an amenable number.

420414312415144 is a deficient number, since it is larger than the sum of its proper divisors (373421361280856).

420414312415144 is a wasteful number, since it uses less digits than its factorization.

420414312415144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426178 (or 426174 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

Adding to 420414312415144 its reverse (441514213414024), we get a palindrome (861928525829168).

The spelling of 420414312415144 in words is "four hundred twenty trillion, four hundred fourteen billion, three hundred twelve million, four hundred fifteen thousand, one hundred forty-four".