432742951872 has 1344 divisors, whose sum is σ = 1680949079040. Its totient is φ = 106748928000.

The previous prime is 432742951859. The next prime is 432742951889. The reversal of 432742951872 is 278159247234.

432742951872 is a `hidden beast` number, since 4 + 3 + 274 + 295 + 1 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6773760) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3303381247 + ... + 3303381377.

It is an arithmetic number, because the mean of its divisors is an integer number (1250706160).

Almost surely, 2^432742951872 is an apocalyptic number.

432742951872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432742951872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840474539520).

432742951872 is an abundant number, since it is smaller than the sum of its proper divisors (1248206127168).

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

432742951872 is a wasteful number, since it uses less digits than its factorization.

432742951872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 252 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 432742951872 in words is "four hundred thirty-two billion, seven hundred forty-two million, nine hundred fifty-one thousand, eight hundred seventy-two".