14340678000 has 240 divisors, whose sum is σ = 50822143008. Its totient is φ = 3476352000.

The previous prime is 14340677993. The next prime is 14340678017. The reversal of 14340678000 is 87604341.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716124 + ... + 735876.

Almost surely, 2^14340678000 is an apocalyptic number.

14340678000 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 14340678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25411071504).

14340678000 is an abundant number, since it is smaller than the sum of its proper divisors (36481465008).

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

14340678000 is a wasteful number, since it uses less digits than its factorization.

14340678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19801 (or 19774 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 14340678000 in words is "fourteen billion, three hundred forty million, six hundred seventy-eight thousand".