14410004420040 has 256 divisors, whose sum is σ = 45497452896000. Its totient is φ = 3646324408320.

The previous prime is 14410004420011. The next prime is 14410004420051. The reversal of 14410004420040 is 4002440001441.

It is a happy number.

14410004420040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 576872271 + ... + 576897249.

It is an arithmetic number, because the mean of its divisors is an integer number (177724425375).

Almost surely, 2^{14410004420040} is an apocalyptic number.

14410004420040 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 14410004420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748726448000).

14410004420040 is an abundant number, since it is smaller than the sum of its proper divisors (31087448475960).

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

14410004420040 is a wasteful number, since it uses less digits than its factorization.

14410004420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28240 (or 28236 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14410004420040 its reverse (4002440001441), we get a palindrome (18412444421481).

The spelling of 14410004420040 in words is "fourteen trillion, four hundred ten billion, four million, four hundred twenty thousand, forty".