13867349207040 has 576 divisors, whose sum is σ = 56267510906880. Its totient is φ = 3092364656640.

The previous prime is 13867349207011. The next prime is 13867349207053. The reversal of 13867349207040 is 4070294376831.

13867349207040 is a `hidden beast` number, since 1 + 3 + 86 + 7 + 3 + 492 + 0 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 26187777 + ... + 26712063.

It is an arithmetic number, because the mean of its divisors is an integer number (97686650880).

Almost surely, 2^{13867349207040} is an apocalyptic number.

13867349207040 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 13867349207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28133755453440).

13867349207040 is an abundant number, since it is smaller than the sum of its proper divisors (42400161699840).

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

13867349207040 is a wasteful number, since it uses less digits than its factorization.

13867349207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524368 (or 524345 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 13867349207040 in words is "thirteen trillion, eight hundred sixty-seven billion, three hundred forty-nine million, two hundred seven thousand, forty".