14435300040 has 192 divisors, whose sum is σ = 52001948160. Its totient is φ = 3193021440.

The previous prime is 14435299987. The next prime is 14435300041. The reversal of 14435300040 is 4000353441.

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

It is not an unprimeable number, because it can be changed into a prime (14435300041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142684 + ... + 221876.

It is an arithmetic number, because the mean of its divisors is an integer number (270843480).

Almost surely, 2^14435300040 is an apocalyptic number.

14435300040 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 14435300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26000974080).

14435300040 is an abundant number, since it is smaller than the sum of its proper divisors (37566648120).

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

14435300040 is a wasteful number, since it uses less digits than its factorization.

14435300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79252 (or 79241 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 14435300040 its reverse (4000353441), we get a palindrome (18435653481).

The spelling of 14435300040 in words is "fourteen billion, four hundred thirty-five million, three hundred thousand, forty".