1361960917632 has 576 divisors, whose sum is σ = 4838941036800. Its totient is φ = 365353648128.

The previous prime is 1361960917627. The next prime is 1361960917673. The reversal of 1361960917632 is 2367190691631.

1361960917632 is a `hidden beast` number, since 1 + 3 + 6 + 19 + 609 + 17 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 459654583 + ... + 459657545.

It is an arithmetic number, because the mean of its divisors is an integer number (8400939300).

Almost surely, 2^{1361960917632} is an apocalyptic number.

1361960917632 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 1361960917632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419470518400).

1361960917632 is an abundant number, since it is smaller than the sum of its proper divisors (3476980119168).

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

1361960917632 is a wasteful number, since it uses less digits than its factorization.

1361960917632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 1361960917632 in words is "one trillion, three hundred sixty-one billion, nine hundred sixty million, nine hundred seventeen thousand, six hundred thirty-two".