1359871641024 has 224 divisors, whose sum is σ = 4132223343360. Its totient is φ = 390974128128.

The previous prime is 1359871641001. The next prime is 1359871641031. The reversal of 1359871641024 is 4201461789531.

It is a super-2 number, since 2×1359871641024² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 5782767 + ... + 6013329.

It is an arithmetic number, because the mean of its divisors is an integer number (18447425640).

It is a 1-persistent number, because it is pandigital, but 2⋅1359871641024 = 2719743282048 is not.

Almost surely, 2^{1359871641024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1359871641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066111671680).

1359871641024 is an abundant number, since it is smaller than the sum of its proper divisors (2772351702336).

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

1359871641024 is a wasteful number, since it uses less digits than its factorization.

1359871641024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230747 (or 230737 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 1359871641024 in words is "one trillion, three hundred fifty-nine billion, eight hundred seventy-one million, six hundred forty-one thousand, twenty-four".