14078790672000 has 1024 divisors, whose sum is σ = 48911833152000. Its totient is φ = 3579052032000.

The previous prime is 14078790671987. The next prime is 14078790672019. The reversal of 14078790672000 is 27609787041.

It is a super-3 number, since 3×14078790672000³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21963791680 + ... + 21963792320.

Almost surely, 2^{14078790672000} is an apocalyptic number.

14078790672000 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 14078790672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24455916576000).

14078790672000 is an abundant number, since it is smaller than the sum of its proper divisors (34833042480000).

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

14078790672000 is a wasteful number, since it uses less digits than its factorization.

14078790672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 14078790672000 in words is "fourteen trillion, seventy-eight billion, seven hundred ninety million, six hundred seventy-two thousand".