14001204401040 has 320 divisors, whose sum is σ = 45021540579840. Its totient is φ = 3595198709760.

The previous prime is 14001204401027. The next prime is 14001204401057. The reversal of 14001204401040 is 4010440210041.

It is a junction number, because it is equal to n+sod(n) for n = 14001204400998 and 14001204401016.

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, 5341930930 + ... + 5341933550.

It is an arithmetic number, because the mean of its divisors is an integer number (140692314312).

Almost surely, 2^{14001204401040} is an apocalyptic number.

14001204401040 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 14001204401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22510770289920).

14001204401040 is an abundant number, since it is smaller than the sum of its proper divisors (31020336178800).

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

14001204401040 is a wasteful number, since it uses less digits than its factorization.

14001204401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14001204401040 its reverse (4010440210041), we get a palindrome (18011644611081).

The spelling of 14001204401040 in words is "fourteen trillion, one billion, two hundred four million, four hundred one thousand, forty".