13912169226240 has 1792 divisors, whose sum is σ = 51365344665600. Its totient is φ = 3197317939200.

The previous prime is 13912169226173. The next prime is 13912169226247. The reversal of 13912169226240 is 4262296121931.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13912169226240.

It is not an unprimeable number, because it can be changed into a prime (13912169226247) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 156316508116 + ... + 156316508204.

It is an arithmetic number, because the mean of its divisors is an integer number (28663696800).

Almost surely, 2^{13912169226240} is an apocalyptic number.

13912169226240 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 13912169226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25682672332800).

13912169226240 is an abundant number, since it is smaller than the sum of its proper divisors (37453175439360).

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

13912169226240 is a wasteful number, since it uses less digits than its factorization.

13912169226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 13912169226240 in words is "thirteen trillion, nine hundred twelve billion, one hundred sixty-nine million, two hundred twenty-six thousand, two hundred forty".