13427904522240 has 960 divisors, whose sum is σ = 54560896790400. Its totient is φ = 3131317813248.

The previous prime is 13427904522211. The next prime is 13427904522287. The reversal of 13427904522240 is 4222540972431.

13427904522240 is a `hidden beast` number, since 1 + 34 + 2 + 7 + 90 + 4 + 522 + 2 + 4 + 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 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, 204838909 + ... + 204904451.

It is an arithmetic number, because the mean of its divisors is an integer number (56834267490).

Almost surely, 2^{13427904522240} is an apocalyptic number.

13427904522240 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 13427904522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27280448395200).

13427904522240 is an abundant number, since it is smaller than the sum of its proper divisors (41132992268160).

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

13427904522240 is a wasteful number, since it uses less digits than its factorization.

13427904522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65614 (or 65585 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 13427904522240 in words is "thirteen trillion, four hundred twenty-seven billion, nine hundred four million, five hundred twenty-two thousand, two hundred forty".