14415975040 has 128 divisors (see below), whose sum is σ = 35193916800. Its totient is φ = 5644972032.

The previous prime is 14415975011. The next prime is 14415975107. The reversal of 14415975040 is 4057951441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 14415974984 and 14415975002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11063029 + ... + 11064331.

It is an arithmetic number, because the mean of its divisors is an integer number (274952475).

Almost surely, 2^14415975040 is an apocalyptic number.

14415975040 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 14415975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17596958400).

14415975040 is an abundant number, since it is smaller than the sum of its proper divisors (20777941760).

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

14415975040 is a wasteful number, since it uses less digits than its factorization.

14415975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 14415975040 in words is "fourteen billion, four hundred fifteen million, nine hundred seventy-five thousand, forty".