432254220003100 has 144 divisors (see below), whose sum is σ = 1033349056740000. Its totient is φ = 155636080128000.

The previous prime is 432254220003097. The next prime is 432254220003101. The reversal of 432254220003100 is 1300022452234.

It is a super-2 number, since 2×432254220003100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432254220003101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176354776 + ... + 178789024.

It is an arithmetic number, because the mean of its divisors is an integer number (7176035116250).

Almost surely, 2^{432254220003100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432254220003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516674528370000).

432254220003100 is an abundant number, since it is smaller than the sum of its proper divisors (601094836736900).

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

432254220003100 is a wasteful number, since it uses less digits than its factorization.

432254220003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435864 (or 2435857 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 432254220003100 its reverse (1300022452234), we get a palindrome (433554242455334).

The spelling of 432254220003100 in words is "four hundred thirty-two trillion, two hundred fifty-four billion, two hundred twenty million, three thousand, one hundred".