14435161225400 has 96 divisors (see below), whose sum is σ = 33689954352240. Its totient is φ = 5752032015360.

The previous prime is 14435161225367. The next prime is 14435161225403. The reversal of 14435161225400 is 452216153441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14435161225403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96483452 + ... + 96632948.

Almost surely, 2^{14435161225400} is an apocalyptic number.

14435161225400 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 14435161225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16844977176120).

14435161225400 is an abundant number, since it is smaller than the sum of its proper divisors (19254793126840).

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

14435161225400 is a wasteful number, since it uses less digits than its factorization.

14435161225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151353 (or 151344 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 14435161225400 its reverse (452216153441), we get a palindrome (14887377378841).

The spelling of 14435161225400 in words is "fourteen trillion, four hundred thirty-five billion, one hundred sixty-one million, two hundred twenty-five thousand, four hundred".