14376564542340 has 3840 divisors, whose sum is σ = 65858504785920. Its totient is φ = 2529128448000.

The previous prime is 14376564542287. The next prime is 14376564542377. The reversal of 14376564542340 is 4324546567341.

14376564542340 is a `hidden beast` number, since 1 + 4 + 3 + 7 + 6 + 5 + 64 + 542 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 1279 ways as a sum of consecutive naturals, for example, 161534433016 + ... + 161534433104.

It is an arithmetic number, because the mean of its divisors is an integer number (17150652288).

Almost surely, 2^{14376564542340} is an apocalyptic number.

14376564542340 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 14376564542340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32929252392960).

14376564542340 is an abundant number, since it is smaller than the sum of its proper divisors (51481940243580).

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

14376564542340 is a wasteful number, since it uses less digits than its factorization.

14376564542340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 14376564542340 in words is "fourteen trillion, three hundred seventy-six billion, five hundred sixty-four million, five hundred forty-two thousand, three hundred forty".