14382090240 has 384 divisors, whose sum is σ = 53741076480. Its totient is φ = 3215130624.

The previous prime is 14382090211. The next prime is 14382090251. The reversal of 14382090240 is 4209028341.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 10106169 + ... + 10107591.

It is an arithmetic number, because the mean of its divisors is an integer number (139950720).

Almost surely, 2^14382090240 is an apocalyptic number.

14382090240 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 14382090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26870538240).

14382090240 is an abundant number, since it is smaller than the sum of its proper divisors (39358986240).

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

14382090240 is a wasteful number, since it uses less digits than its factorization.

14382090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 14382090240 in words is "fourteen billion, three hundred eighty-two million, ninety thousand, two hundred forty".