13734476440920 has 192 divisors, whose sum is σ = 44711177696640. Its totient is φ = 3656448000000.

The previous prime is 13734476440913. The next prime is 13734476440939. The reversal of 13734476440920 is 2904467443731.

It is a happy number.

13734476440920 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 44 + 76 + 440 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1081704012 + ... + 1081716708.

It is an arithmetic number, because the mean of its divisors is an integer number (232870717170).

Almost surely, 2^{13734476440920} is an apocalyptic number.

13734476440920 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 13734476440920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22355588848320).

13734476440920 is an abundant number, since it is smaller than the sum of its proper divisors (30976701255720).

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

13734476440920 is a wasteful number, since it uses less digits than its factorization.

13734476440920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17466 (or 17459 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 13734476440920 in words is "thirteen trillion, seven hundred thirty-four billion, four hundred seventy-six million, four hundred forty thousand, nine hundred twenty".