14010256100 has 144 divisors (see below), whose sum is σ = 32733529920. Its totient is φ = 5189184000.

The previous prime is 14010256093. The next prime is 14010256123. The reversal of 14010256100 is 165201041.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19985750 + ... + 19986450.

It is an arithmetic number, because the mean of its divisors is an integer number (227316180).

Almost surely, 2^14010256100 is an apocalyptic number.

14010256100 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 14010256100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16366764960).

14010256100 is an abundant number, since it is smaller than the sum of its proper divisors (18723273820).

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

14010256100 is a wasteful number, since it uses less digits than its factorization.

14010256100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 14010256100 its reverse (165201041), we get a palindrome (14175457141).

The spelling of 14010256100 in words is "fourteen billion, ten million, two hundred fifty-six thousand, one hundred".