432201013440 has 224 divisors, whose sum is σ = 1650813381120. Its totient is φ = 93589364736.

The previous prime is 432201013423. The next prime is 432201013471. The reversal of 432201013440 is 44310102234.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 432201013440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1564837 + ... + 1820196.

Almost surely, 2^432201013440 is an apocalyptic number.

432201013440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432201013440 is an abundant number, since it is smaller than the sum of its proper divisors (1218612367680).

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

432201013440 is a wasteful number, since it uses less digits than its factorization.

432201013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385079 (or 3385069 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 432201013440 its reverse (44310102234), we get a palindrome (476511115674).

The spelling of 432201013440 in words is "four hundred thirty-two billion, two hundred one million, thirteen thousand, four hundred forty".