14442345840 has 320 divisors, whose sum is σ = 50550764544. Its totient is φ = 3384336384.

The previous prime is 14442345829. The next prime is 14442345859. The reversal of 14442345840 is 4854324441.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 22460559 + ... + 22461201.

Almost surely, 2^14442345840 is an apocalyptic number.

14442345840 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 14442345840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25275382272).

14442345840 is an abundant number, since it is smaller than the sum of its proper divisors (36108418704).

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

14442345840 is a wasteful number, since it uses less digits than its factorization.

14442345840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

The spelling of 14442345840 in words is "fourteen billion, four hundred forty-two million, three hundred forty-five thousand, eight hundred forty".