13405422353442 has 128 divisors (see below), whose sum is σ = 32398429593600. Its totient is φ = 3612256736256.

The previous prime is 13405422353441. The next prime is 13405422353459. The reversal of 13405422353442 is 24435322450431.

13405422353442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13405422353394 and 13405422353403.

It is not an unprimeable number, because it can be changed into a prime (13405422353441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 776802078 + ... + 776819334.

It is an arithmetic number, because the mean of its divisors is an integer number (253112731200).

Almost surely, 2^{13405422353442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13405422353442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16199214796800).

13405422353442 is an abundant number, since it is smaller than the sum of its proper divisors (18993007240158).

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

13405422353442 is a wasteful number, since it uses less digits than its factorization.

13405422353442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21600.

The product of its (nonzero) digits is 1382400, while the sum is 42.

The spelling of 13405422353442 in words is "thirteen trillion, four hundred five billion, four hundred twenty-two million, three hundred fifty-three thousand, four hundred forty-two".