1358107221744 has 960 divisors, whose sum is σ = 5002677808128. Its totient is φ = 347120640000.

The previous prime is 1358107221739. The next prime is 1358107221769. The reversal of 1358107221744 is 4471227018531.

It is a happy number.

1358107221744 is a `hidden beast` number, since 1 + 3 + 581 + 0 + 7 + 2 + 21 + 7 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1358107221744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3641037942 + ... + 3641038314.

Almost surely, 2^{1358107221744} is an apocalyptic number.

1358107221744 is a gapful number since it is divisible by the number (14) 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 1358107221744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501338904064).

1358107221744 is an abundant number, since it is smaller than the sum of its proper divisors (3644570586384).

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

1358107221744 is a wasteful number, since it uses less digits than its factorization.

1358107221744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 1358107221744 in words is "one trillion, three hundred fifty-eight billion, one hundred seven million, two hundred twenty-one thousand, seven hundred forty-four".