2014404310100 has 144 divisors (see below), whose sum is σ = 5382917971200. Its totient is φ = 637181061120.

The previous prime is 2014404310099. The next prime is 2014404310103. The reversal of 2014404310100 is 10134044102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014404310103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17039996 + ... + 17157804.

It is an arithmetic number, because the mean of its divisors is an integer number (37381374800).

Almost surely, 2^{2014404310100} is an apocalyptic number.

2014404310100 is a gapful number since it is divisible by the number (20) 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 2014404310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691458985600).

2014404310100 is an abundant number, since it is smaller than the sum of its proper divisors (3368513661100).

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

2014404310100 is a wasteful number, since it uses less digits than its factorization.

2014404310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119722 (or 119715 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2014404310100 its reverse (10134044102), we get a palindrome (2024538354202).

The spelling of 2014404310100 in words is "two trillion, fourteen billion, four hundred four million, three hundred ten thousand, one hundred".