13440400402000 has 640 divisors, whose sum is σ = 39529897924608. Its totient is φ = 4354670592000.

The previous prime is 13440400401971. The next prime is 13440400402031. The reversal of 13440400402000 is 20400404431.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 981259152 + ... + 981272848.

Almost surely, 2^{13440400402000} is an apocalyptic number.

13440400402000 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 13440400402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19764948962304).

13440400402000 is an abundant number, since it is smaller than the sum of its proper divisors (26089497522608).

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

13440400402000 is a wasteful number, since it uses less digits than its factorization.

13440400402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13864 (or 13848 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 13440400402000 its reverse (20400404431), we get a palindrome (13460800806431).

The spelling of 13440400402000 in words is "thirteen trillion, four hundred forty billion, four hundred million, four hundred two thousand".