14220662400 has 576 divisors, whose sum is σ = 60558624000. Its totient is φ = 3249469440.

The previous prime is 14220662371. The next prime is 14220662413. The reversal of 14220662400 is 426602241.

14220662400 is a `hidden beast` number, since 14 + 2 + 20 + 6 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4231921 + ... + 4235279.

It is an arithmetic number, because the mean of its divisors is an integer number (105136500).

Almost surely, 2^14220662400 is an apocalyptic number.

14220662400 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 14220662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30279312000).

14220662400 is an abundant number, since it is smaller than the sum of its proper divisors (46337961600).

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

14220662400 is a wasteful number, since it uses less digits than its factorization.

14220662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 14220662400 in words is "fourteen billion, two hundred twenty million, six hundred sixty-two thousand, four hundred".