14235134420100 has 288 divisors, whose sum is σ = 45310018723200. Its totient is φ = 3421930496000.

The previous prime is 14235134420093. The next prime is 14235134420183. The reversal of 14235134420100 is 102443153241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291553690 + ... + 291602510.

It is an arithmetic number, because the mean of its divisors is an integer number (157326453900).

Almost surely, 2^{14235134420100} is an apocalyptic number.

14235134420100 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 14235134420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22655009361600).

14235134420100 is an abundant number, since it is smaller than the sum of its proper divisors (31074884303100).

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

14235134420100 is a wasteful number, since it uses less digits than its factorization.

14235134420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49591 (or 49584 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 14235134420100 its reverse (102443153241), we get a palindrome (14337577573341).

The spelling of 14235134420100 in words is "fourteen trillion, two hundred thirty-five billion, one hundred thirty-four million, four hundred twenty thousand, one hundred".