1358105149440 has 1056 divisors, whose sum is σ = 5386290358176. Its totient is φ = 326149079040.

The previous prime is 1358105149403. The next prime is 1358105149441. The reversal of 1358105149440 is 449415018531.

1358105149440 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 1 + 0 + 514 + 94 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358105149441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33124515820 + ... + 33124515860.

Almost surely, 2^{1358105149440} is an apocalyptic number.

1358105149440 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 1358105149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693145179088).

1358105149440 is an abundant number, since it is smaller than the sum of its proper divisors (4028185208736).

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

1358105149440 is an frugal number, since it uses more digits than its factorization.

1358105149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1358105149440 in words is "one trillion, three hundred fifty-eight billion, one hundred five million, one hundred forty-nine thousand, four hundred forty".