14164205400 has 192 divisors, whose sum is σ = 48851114400. Its totient is φ = 3772224000.

The previous prime is 14164205399. The next prime is 14164205441. The reversal of 14164205400 is 450246141.

14164205400 is a `hidden beast` number, since 1 + 41 + 64 + 20 + 540 + 0 = 666.

It is a super-2 number, since 2×14164205400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6376290 + ... + 6378510.

Almost surely, 2^14164205400 is an apocalyptic number.

14164205400 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 14164205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24425557200).

14164205400 is an abundant number, since it is smaller than the sum of its proper divisors (34686909000).

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

14164205400 is a wasteful number, since it uses less digits than its factorization.

14164205400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 14164205400 in words is "fourteen billion, one hundred sixty-four million, two hundred five thousand, four hundred".