1321941600 has 432 divisors, whose sum is σ = 5566050000. Its totient is φ = 301916160.

The previous prime is 1321941563. The next prime is 1321941611. The reversal of 1321941600 is 61491231.

1321941600 is a `hidden beast` number, since 1 + 3 + 2 + 19 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1057776 + ... + 1059024.

It is an arithmetic number, because the mean of its divisors is an integer number (12884375).

Almost surely, 2^1321941600 is an apocalyptic number.

1321941600 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 1321941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783025000).

1321941600 is an abundant number, since it is smaller than the sum of its proper divisors (4244108400).

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

1321941600 is a wasteful number, since it uses less digits than its factorization.

1321941600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1321941600 is about 36358.5148211530. The cubic root of 1321941600 is about 1097.4988904502.

The spelling of 1321941600 in words is "one billion, three hundred twenty-one million, nine hundred forty-one thousand, six hundred".