13731782423040 has 960 divisors, whose sum is σ = 53837647598592. Its totient is φ = 3205523865600.

The previous prime is 13731782423011. The next prime is 13731782423057. The reversal of 13731782423040 is 4032428713731.

13731782423040 is a `hidden beast` number, since 1 + 3 + 7 + 31 + 78 + 242 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 773743447 + ... + 773761193.

Almost surely, 2^{13731782423040} is an apocalyptic number.

13731782423040 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 13731782423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26918823799296).

13731782423040 is an abundant number, since it is smaller than the sum of its proper divisors (40105865175552).

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

13731782423040 is a wasteful number, since it uses less digits than its factorization.

13731782423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17901 (or 17882 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 13731782423040 in words is "thirteen trillion, seven hundred thirty-one billion, seven hundred eighty-two million, four hundred twenty-three thousand, forty".