14066150400 has 198 divisors, whose sum is σ = 50364297932. Its totient is φ = 3750912000.

The previous prime is 14066150393. The next prime is 14066150419. The reversal of 14066150400 is 405166041.

14066150400 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 615 + 0 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 199875 + ... + 260925.

Almost surely, 2^14066150400 is an apocalyptic number.

14066150400 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 14066150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25182148966).

14066150400 is an abundant number, since it is smaller than the sum of its proper divisors (36298147532).

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

14066150400 is a wasteful number, since it uses less digits than its factorization.

14066150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61087 (or 61061 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 14066150400 in words is "fourteen billion, sixty-six million, one hundred fifty thousand, four hundred".