13442521440 has 96 divisors (see below), whose sum is σ = 43142966496. Its totient is φ = 3517030400.

The previous prime is 13442521439. The next prime is 13442521447. The reversal of 13442521440 is 4412524431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13442521398 and 13442521407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13442521447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238761 + ... + 289640.

It is an arithmetic number, because the mean of its divisors is an integer number (449405901).

Almost surely, 2^13442521440 is an apocalyptic number.

13442521440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13442521440 is an abundant number, since it is smaller than the sum of its proper divisors (29700445056).

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

13442521440 is a wasteful number, since it uses less digits than its factorization.

13442521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528472 (or 528464 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 13442521440 in words is "thirteen billion, four hundred forty-two million, five hundred twenty-one thousand, four hundred forty".