14001441333440 has 224 divisors, whose sum is σ = 36967887260928. Its totient is φ = 5008227840000.

The previous prime is 14001441333409. The next prime is 14001441333457. The reversal of 14001441333440 is 4433314410041.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 14001441333397 and 14001441333406.

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, 165281495 + ... + 165366185.

Almost surely, 2^{14001441333440} is an apocalyptic number.

14001441333440 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 14001441333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18483943630464).

14001441333440 is an abundant number, since it is smaller than the sum of its proper divisors (22966445927488).

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

14001441333440 is a wasteful number, since it uses less digits than its factorization.

14001441333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85487 (or 85477 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 14001441333440 its reverse (4433314410041), we get a palindrome (18434755743481).

The spelling of 14001441333440 in words is "fourteen trillion, one billion, four hundred forty-one million, three hundred thirty-three thousand, four hundred forty".