1432124430100 has 144 divisors (see below), whose sum is σ = 3825834380928. Its totient is φ = 453129960960.

The previous prime is 1432124430047. The next prime is 1432124430119. The reversal of 1432124430100 is 10344212341.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40868787 + ... + 40903813.

It is an arithmetic number, because the mean of its divisors is an integer number (26568294312).

Almost surely, 2^{1432124430100} is an apocalyptic number.

1432124430100 is a gapful number since it is divisible by the number (10) 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 1432124430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912917190464).

1432124430100 is an abundant number, since it is smaller than the sum of its proper divisors (2393709950828).

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

1432124430100 is a wasteful number, since it uses less digits than its factorization.

1432124430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39554 (or 39547 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1432124430100 its reverse (10344212341), we get a palindrome (1442468642441).

The spelling of 1432124430100 in words is "one trillion, four hundred thirty-two billion, one hundred twenty-four million, four hundred thirty thousand, one hundred".