14078530400 has 144 divisors (see below), whose sum is σ = 38292549120. Its totient is φ = 5010393600.

The previous prime is 14078530393. The next prime is 14078530421. The reversal of 14078530400 is 403587041.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396581 + ... + 430619.

It is an arithmetic number, because the mean of its divisors is an integer number (265920480).

Almost surely, 2^14078530400 is an apocalyptic number.

14078530400 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 14078530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19146274560).

14078530400 is an abundant number, since it is smaller than the sum of its proper divisors (24214018720).

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

14078530400 is a wasteful number, since it uses less digits than its factorization.

14078530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34117 (or 34104 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 14078530400 in words is "fourteen billion, seventy-eight million, five hundred thirty thousand, four hundred".