1305616400352 has 240 divisors, whose sum is σ = 4190103918000. Its totient is φ = 395523164160.

The previous prime is 1305616400321. The next prime is 1305616400371. The reversal of 1305616400352 is 2530046165031.

1305616400352 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 6 + 1 + 640 + 0 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×1305616400352² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 166762774 + ... + 166770602.

It is an arithmetic number, because the mean of its divisors is an integer number (17458766325).

Almost surely, 2^{1305616400352} is an apocalyptic number.

1305616400352 is a gapful number since it is divisible by the number (12) 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 1305616400352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095051959000).

1305616400352 is an abundant number, since it is smaller than the sum of its proper divisors (2884487517648).

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

1305616400352 is a wasteful number, since it uses less digits than its factorization.

1305616400352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13711 (or 13694 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1305616400352 in words is "one trillion, three hundred five billion, six hundred sixteen million, four hundred thousand, three hundred fifty-two".