420412321125 has 24 divisors (see below), whose sum is σ = 757863279576. Its totient is φ = 224219904000.

The previous prime is 420412321117. The next prime is 420412321127. The reversal of 420412321125 is 521123214024.

420412321125 is a `hidden beast` number, since 4 + 204 + 12 + 321 + 125 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1774852641 + 418637468484 = 42129^2 + 647022^2 .

It is not a de Polignac number, because 420412321125 - 2³ = 420412321117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420412321127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186848796 + ... + 186851045.

It is an arithmetic number, because the mean of its divisors is an integer number (31577636649).

Almost surely, 2^420412321125 is an apocalyptic number.

420412321125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420412321125 is a deficient number, since it is larger than the sum of its proper divisors (337450958451).

420412321125 is a wasteful number, since it uses less digits than its factorization.

420412321125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373699862 (or 373699849 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 420412321125 its reverse (521123214024), we get a palindrome (941535535149).

The spelling of 420412321125 in words is "four hundred twenty billion, four hundred twelve million, three hundred twenty-one thousand, one hundred twenty-five".