14070478400 has 672 divisors, whose sum is σ = 43431220224. Its totient is φ = 4423680000.

The previous prime is 14070478397. The next prime is 14070478423. The reversal of 14070478400 is 487407041.

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, 343182380 + ... + 343182420.

It is an arithmetic number, because the mean of its divisors is an integer number (64629792).

Almost surely, 2^14070478400 is an apocalyptic number.

14070478400 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 14070478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21715610112).

14070478400 is an abundant number, since it is smaller than the sum of its proper divisors (29360741824).

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

14070478400 is a wasteful number, since it uses less digits than its factorization.

14070478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The spelling of 14070478400 in words is "fourteen billion, seventy million, four hundred seventy-eight thousand, four hundred".