14675420400 has 120 divisors (see below), whose sum is σ = 47095073520. Its totient is φ = 3906385920.

The previous prime is 14675420381. The next prime is 14675420479. The reversal of 14675420400 is 402457641.

14675420400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672054 + ... + 693546.

It is an arithmetic number, because the mean of its divisors is an integer number (392458946).

Almost surely, 2^14675420400 is an apocalyptic number.

14675420400 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 14675420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23547536760).

14675420400 is an abundant number, since it is smaller than the sum of its proper divisors (32419653120).

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

14675420400 is a wasteful number, since it uses less digits than its factorization.

14675420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22083 (or 22072 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 14675420400 in words is "fourteen billion, six hundred seventy-five million, four hundred twenty thousand, four hundred".