432355553280 has 1248 divisors, whose sum is σ = 1819290559680. Its totient is φ = 98322481152.

The previous prime is 432355553263. The next prime is 432355553309. The reversal of 432355553280 is 82355553234.

432355553280 is a `hidden beast` number, since 4 + 3 + 2 + 35 + 5 + 5 + 532 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2194698142 + ... + 2194698338.

Almost surely, 2^432355553280 is an apocalyptic number.

432355553280 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 432355553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909645279840).

432355553280 is an abundant number, since it is smaller than the sum of its proper divisors (1386935006400).

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

432355553280 is an frugal number, since it uses more digits than its factorization.

432355553280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 432355553280 in words is "four hundred thirty-two billion, three hundred fifty-five million, five hundred fifty-three thousand, two hundred eighty".