14280050400 has 1152 divisors, whose sum is σ = 62995968000. Its totient is φ = 2777241600.

The previous prime is 14280050357. The next prime is 14280050413. The reversal of 14280050400 is 405008241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 172048759 + ... + 172048841.

It is an arithmetic number, because the mean of its divisors is an integer number (54684000).

Almost surely, 2^14280050400 is an apocalyptic number.

14280050400 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 14280050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984000).

14280050400 is an abundant number, since it is smaller than the sum of its proper divisors (48715917600).

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

14280050400 is a wasteful number, since it uses less digits than its factorization.

14280050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 14280050400 its reverse (405008241), we get a palindrome (14685058641).

The spelling of 14280050400 in words is "fourteen billion, two hundred eighty million, fifty thousand, four hundred".