1352653644140 has 192 divisors, whose sum is σ = 3214420070400. Its totient is φ = 475102900224.

The previous prime is 1352653644119. The next prime is 1352653644179. The reversal of 1352653644140 is 414463562531.

It is a junction number, because it is equal to n+sod(n) for n = 1352653644091 and 1352653644100.

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 63 ways as a sum of consecutive naturals, for example, 117585629 + ... + 117597131.

It is an arithmetic number, because the mean of its divisors is an integer number (16741771200).

Almost surely, 2^{1352653644140} is an apocalyptic number.

1352653644140 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 1352653644140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607210035200).

1352653644140 is an abundant number, since it is smaller than the sum of its proper divisors (1861766426260).

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

1352653644140 is a wasteful number, since it uses less digits than its factorization.

1352653644140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11824 (or 11822 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 1352653644140 in words is "one trillion, three hundred fifty-two billion, six hundred fifty-three million, six hundred forty-four thousand, one hundred forty".