14350475040 has 384 divisors, whose sum is σ = 52907904000. Its totient is φ = 3232419840.

The previous prime is 14350475039. The next prime is 14350475053. The reversal of 14350475040 is 4057405341.

It is a super-2 number, since 2×14350475040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 14350474992 and 14350475010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5315611 + ... + 5318309.

It is an arithmetic number, because the mean of its divisors is an integer number (137781000).

Almost surely, 2^14350475040 is an apocalyptic number.

14350475040 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 14350475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26453952000).

14350475040 is an abundant number, since it is smaller than the sum of its proper divisors (38557428960).

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

14350475040 is a wasteful number, since it uses less digits than its factorization.

14350475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The spelling of 14350475040 in words is "fourteen billion, three hundred fifty million, four hundred seventy-five thousand, forty".