14401330032 has 160 divisors (see below), whose sum is σ = 40847385600. Its totient is φ = 4358154240.

The previous prime is 14401329977. The next prime is 14401330061. The reversal of 14401330032 is 23003310441.

It is a junction number, because it is equal to n+sod(n) for n = 14401329990 and 14401330008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1670469 + ... + 1679067.

It is an arithmetic number, because the mean of its divisors is an integer number (255296160).

Almost surely, 2^14401330032 is an apocalyptic number.

14401330032 is a gapful number since it is divisible by the number (12) 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 14401330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20423692800).

14401330032 is an abundant number, since it is smaller than the sum of its proper divisors (26446055568).

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

14401330032 is a wasteful number, since it uses less digits than its factorization.

14401330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8711 (or 8705 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 14401330032 its reverse (23003310441), we get a palindrome (37404640473).

The spelling of 14401330032 in words is "fourteen billion, four hundred one million, three hundred thirty thousand, thirty-two".