13727433420 has 192 divisors, whose sum is σ = 43405824000. Its totient is φ = 3601158912.

The previous prime is 13727433407. The next prime is 13727433437. The reversal of 13727433420 is 2433472731.

13727433420 is a `hidden beast` number, since 1 + 37 + 274 + 334 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18727374 + ... + 18728106.

It is an arithmetic number, because the mean of its divisors is an integer number (226072000).

Almost surely, 2^13727433420 is an apocalyptic number.

13727433420 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 13727433420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21702912000).

13727433420 is an abundant number, since it is smaller than the sum of its proper divisors (29678390580).

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

13727433420 is a wasteful number, since it uses less digits than its factorization.

13727433420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 13727433420 in words is "thirteen billion, seven hundred twenty-seven million, four hundred thirty-three thousand, four hundred twenty".