432420421248 has 48 divisors (see below), whose sum is σ = 1244334809250. Its totient is φ = 144140140032.

The previous prime is 432420421247. The next prime is 432420421327. The reversal of 432420421248 is 842124024234.

432420421248 is a `hidden beast` number, since 4 + 324 + 204 + 2 + 124 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 412688038464 + 19732382784 = 642408^2 + 140472^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (432420421247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 187681323 + ... + 187683626.

Almost surely, 2^432420421248 is an apocalyptic number.

432420421248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

432420421248 is an abundant number, since it is smaller than the sum of its proper divisors (811914388002).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

432420421248 is a wasteful number, since it uses less digits than its factorization.

432420421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375364969 (or 375364954 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 432420421248 in words is "four hundred thirty-two billion, four hundred twenty million, four hundred twenty-one thousand, two hundred forty-eight".