1321435173600 has 864 divisors, whose sum is σ = 5166389329920. Its totient is φ = 316122808320.

The previous prime is 1321435173599. The next prime is 1321435173689. The reversal of 1321435173600 is 63715341231.

1321435173600 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 4 + 35 + 17 + 3 + 600 = 666.

It is a super-3 number, since 3×1321435173600³ (a number of 37 digits) contains 333 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 143 ways as a sum of consecutive naturals, for example, 1033177761 + ... + 1033179039.

It is an arithmetic number, because the mean of its divisors is an integer number (5979617280).

Almost surely, 2^{1321435173600} is an apocalyptic number.

1321435173600 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 1321435173600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583194664960).

1321435173600 is an abundant number, since it is smaller than the sum of its proper divisors (3844954156320).

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

1321435173600 is a wasteful number, since it uses less digits than its factorization.

1321435173600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 1321435173600 in words is "one trillion, three hundred twenty-one billion, four hundred thirty-five million, one hundred seventy-three thousand, six hundred".