1434269712100 has 243 divisors, whose sum is σ = 3361325330811. Its totient is φ = 531163987200.

The previous prime is 1434269712089. The next prime is 1434269712103. The reversal of 1434269712100 is 12179624341.

The square root of 1434269712100 is 1197610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 603707244196 + 830562467904 = 776986^2 + 911352^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1434269712103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11293462237 + ... + 11293462363.

Almost surely, 2^{1434269712100} is an apocalyptic number.

1434269712100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1434269712100 is the 1197610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434269712100

1434269712100 is an abundant number, since it is smaller than the sum of its proper divisors (1927055618711).

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

1434269712100 is a wasteful number, since it uses less digits than its factorization.

1434269712100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 1434269712100 in words is "one trillion, four hundred thirty-four billion, two hundred sixty-nine million, seven hundred twelve thousand, one hundred".