13649776334040 has 320 divisors, whose sum is σ = 52114238991360. Its totient is φ = 2836316501760.

The previous prime is 13649776334027. The next prime is 13649776334071. The reversal of 13649776334040 is 4043367794631.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1015897 + ... + 5322743.

It is an arithmetic number, because the mean of its divisors is an integer number (162856996848).

Almost surely, 2^{13649776334040} is an apocalyptic number.

13649776334040 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 13649776334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26057119495680).

13649776334040 is an abundant number, since it is smaller than the sum of its proper divisors (38464462657320).

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

13649776334040 is a wasteful number, since it uses less digits than its factorization.

13649776334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306900 (or 4306875 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 57.

The spelling of 13649776334040 in words is "thirteen trillion, six hundred forty-nine billion, seven hundred seventy-six million, three hundred thirty-four thousand, forty".