14095872000 has 1248 divisors, whose sum is σ = 63787576320. Its totient is φ = 2919628800.

The previous prime is 14095871987. The next prime is 14095872013. The reversal of 14095872000 is 27859041.

It is an interprime number because it is at equal distance from previous prime (14095871987) and next prime (14095872013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 612863989 + ... + 612864011.

It is an arithmetic number, because the mean of its divisors is an integer number (51111840).

Almost surely, 2^14095872000 is an apocalyptic number.

14095872000 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 14095872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31893788160).

14095872000 is an abundant number, since it is smaller than the sum of its proper divisors (49691704320).

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

14095872000 is a wasteful number, since it uses less digits than its factorization.

14095872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

It can be divided in two parts, 1 and 4095872000, that added together give a square (4095872001 = 63999²).

The spelling of 14095872000 in words is "fourteen billion, ninety-five million, eight hundred seventy-two thousand".