1434131424100 has 72 divisors (see below), whose sum is σ = 3139957529856. Its totient is φ = 568528800000.

The previous prime is 1434131424091. The next prime is 1434131424101. The reversal of 1434131424100 is 14241314341.

It is not an unprimeable number, because it can be changed into a prime (1434131424101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6397920 + ... + 6618280.

It is an arithmetic number, because the mean of its divisors is an integer number (43610521248).

Almost surely, 2^{1434131424100} is an apocalyptic number.

1434131424100 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 1434131424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569978764928).

1434131424100 is an abundant number, since it is smaller than the sum of its proper divisors (1705826105756).

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

1434131424100 is a wasteful number, since it uses less digits than its factorization.

1434131424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220957 (or 220950 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1434131424100 its reverse (14241314341), we get a palindrome (1448372738441).

The spelling of 1434131424100 in words is "one trillion, four hundred thirty-four billion, one hundred thirty-one million, four hundred twenty-four thousand, one hundred".