432052255152000 has 4096 divisors, whose sum is σ = 1904527392768000. Its totient is φ = 94234071859200.

The previous prime is 432052255151989. The next prime is 432052255152041. The reversal of 432052255152000 is 251552250234.

432052255152000 is a `hidden beast` number, since 4 + 3 + 2 + 0 + 52 + 2 + 551 + 52 + 0 + 0 + 0 = 666.

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

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 511 ways as a sum of consecutive naturals, for example, 1407336335847 + ... + 1407336336153.

It is an arithmetic number, because the mean of its divisors is an integer number (464972508000).

Almost surely, 2^{432052255152000} is an apocalyptic number.

432052255152000 is a gapful number since it is divisible by the number (40) 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 432052255152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952263696384000).

432052255152000 is an abundant number, since it is smaller than the sum of its proper divisors (1472475137616000).

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

432052255152000 is a wasteful number, since it uses less digits than its factorization.

432052255152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 432052255152000 in words is "four hundred thirty-two trillion, fifty-two billion, two hundred fifty-five million, one hundred fifty-two thousand".