1353226105440 has 144 divisors (see below), whose sum is σ = 5037691787856. Its totient is φ = 328054809600.

The previous prime is 1353226105369. The next prime is 1353226105477. The reversal of 1353226105440 is 445016223531.

1353226105440 is a `hidden beast` number, since 1 + 3 + 5 + 32 + 2 + 610 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1353226105395 and 1353226105404.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 42699631 + ... + 42731310.

It is an arithmetic number, because the mean of its divisors is an integer number (34983970749).

Almost surely, 2^{1353226105440} is an apocalyptic number.

1353226105440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353226105440 is an abundant number, since it is smaller than the sum of its proper divisors (3684465682416).

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

1353226105440 is a wasteful number, since it uses less digits than its factorization.

1353226105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85430973 (or 85430962 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1353226105440 in words is "one trillion, three hundred fifty-three billion, two hundred twenty-six million, one hundred five thousand, four hundred forty".