14070704400 has 225 divisors, whose sum is σ = 50575374421. Its totient is φ = 3746494080.

The previous prime is 14070704393. The next prime is 14070704407. The reversal of 14070704400 is 440707041.

The square root of 14070704400 is 118620.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (14070704393) and next prime (14070704407).

It can be written as a sum of positive squares in only one way, i.e., 5065453584 + 9005250816 = 71172^2 + 94896^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14070704407) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21351271 + ... + 21351929.

Almost surely, 2^14070704400 is an apocalyptic number.

14070704400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14070704400 is the 118620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14070704400

14070704400 is an abundant number, since it is smaller than the sum of its proper divisors (36504670021).

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

14070704400 is an frugal number, since it uses more digits than its factorization.

14070704400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

Multiplying 14070704400 by its product of nonzero digits (3136), we get a square (44125728998400 = 6642720²).

The spelling of 14070704400 in words is "fourteen billion, seventy million, seven hundred four thousand, four hundred".