1321642182960 has 560 divisors, whose sum is σ = 5142938473728. Its totient is φ = 312940454400.

The previous prime is 1321642182919. The next prime is 1321642182979. The reversal of 1321642182960 is 692812461231.

1321642182960 is a `hidden beast` number, since 1 + 3 + 216 + 421 + 8 + 2 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×1321642182960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27561405 + ... + 27609315.

Almost surely, 2^{1321642182960} is an apocalyptic number.

1321642182960 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 1321642182960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571469236864).

1321642182960 is an abundant number, since it is smaller than the sum of its proper divisors (3821296290768).

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

1321642182960 is a wasteful number, since it uses less digits than its factorization.

1321642182960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47996 (or 47975 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1321642182960 in words is "one trillion, three hundred twenty-one billion, six hundred forty-two million, one hundred eighty-two thousand, nine hundred sixty".