14132966400 has 1056 divisors, whose sum is σ = 62380769280. Its totient is φ = 3065610240.

The previous prime is 14132966369. The next prime is 14132966431. The reversal of 14132966400 is 466923141.

14132966400 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 2 + 9 + 6 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14132966369) and next prime (14132966431).

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, 111283137 + ... + 111283263.

Almost surely, 2^14132966400 is an apocalyptic number.

14132966400 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 14132966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31190384640).

14132966400 is an abundant number, since it is smaller than the sum of its proper divisors (48247802880).

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

14132966400 is a wasteful number, since it uses less digits than its factorization.

14132966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 14132966400 in words is "fourteen billion, one hundred thirty-two million, nine hundred sixty-six thousand, four hundred".