14004406674000 has 480 divisors, whose sum is σ = 50512492612608. Its totient is φ = 3612470400000.

The previous prime is 14004406673981. The next prime is 14004406674059. The reversal of 14004406674000 is 47660440041.

14004406674000 is a `hidden beast` number, since 140 + 0 + 440 + 6 + 6 + 74 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×14004406674000² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1841954199 + ... + 1841961801.

Almost surely, 2^{14004406674000} is an apocalyptic number.

14004406674000 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 14004406674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25256246306304).

14004406674000 is an abundant number, since it is smaller than the sum of its proper divisors (36508085938608).

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

14004406674000 is a wasteful number, since it uses less digits than its factorization.

14004406674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10964 (or 10945 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 14004406674000 in words is "fourteen trillion, four billion, four hundred six million, six hundred seventy-four thousand".