13940420424000 has 672 divisors, whose sum is σ = 53579846047104. Its totient is φ = 3184402636800.

The previous prime is 13940420423983. The next prime is 13940420424001. The reversal of 13940420424000 is 42402404931.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13940420424001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2795349507 + ... + 2795354493.

Almost surely, 2^{13940420424000} is an apocalyptic number.

13940420424000 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 13940420424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26789923023552).

13940420424000 is an abundant number, since it is smaller than the sum of its proper divisors (39639425623104).

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

13940420424000 is a wasteful number, since it uses less digits than its factorization.

13940420424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 13940420424000 its reverse (42402404931), we get a palindrome (13982822828931).

The spelling of 13940420424000 in words is "thirteen trillion, nine hundred forty billion, four hundred twenty million, four hundred twenty-four thousand".