14405638500 has 864 divisors, whose sum is σ = 56481909120. Its totient is φ = 3055104000.

The previous prime is 14405638477. The next prime is 14405638531. The reversal of 14405638500 is 583650441.

It is a happy number.

14405638500 is a `hidden beast` number, since 1 + 4 + 40 + 563 + 8 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 271804474 + ... + 271804526.

It is an arithmetic number, because the mean of its divisors is an integer number (65372580).

Almost surely, 2^14405638500 is an apocalyptic number.

14405638500 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 14405638500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28240954560).

14405638500 is an abundant number, since it is smaller than the sum of its proper divisors (42076270620).

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

14405638500 is a wasteful number, since it uses less digits than its factorization.

14405638500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 14405638500 in words is "fourteen billion, four hundred five million, six hundred thirty-eight thousand, five hundred".