432010224520000 has 560 divisors, whose sum is σ = 1286086255660800. Its totient is φ = 140726716416000.

The previous prime is 432010224519989. The next prime is 432010224520003. The reversal of 432010224520000 is 25422010234.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432010224520003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 959334892 + ... + 959785108.

Almost surely, 2^{432010224520000} is an apocalyptic number.

432010224520000 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 432010224520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643043127830400).

432010224520000 is an abundant number, since it is smaller than the sum of its proper divisors (854076031140800).

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

432010224520000 is a wasteful number, since it uses less digits than its factorization.

432010224520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450428 (or 450403 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 432010224520000 its reverse (25422010234), we get a palindrome (432035646530234).

The spelling of 432010224520000 in words is "four hundred thirty-two trillion, ten billion, two hundred twenty-four million, five hundred twenty thousand".