13940405606400 has 3456 divisors, whose sum is σ = 63455641704000. Its totient is φ = 2672799252480.

The previous prime is 13940405606357. The next prime is 13940405606431. The reversal of 13940405606400 is 460650404931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 480703641586 + ... + 480703641614.

Almost surely, 2^{13940405606400} is an apocalyptic number.

13940405606400 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 13940405606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31727820852000).

13940405606400 is an abundant number, since it is smaller than the sum of its proper divisors (49515236097600).

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

13940405606400 is a wasteful number, since it uses less digits than its factorization.

13940405606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 13940405606400 in words is "thirteen trillion, nine hundred forty billion, four hundred five million, six hundred six thousand, four hundred".