1640591495200 has 288 divisors, whose sum is σ = 4854979261440. Its totient is φ = 528811545600.

The previous prime is 1640591495177. The next prime is 1640591495203. The reversal of 1640591495200 is 25941950461.

It is not an unprimeable number, because it can be changed into a prime (1640591495203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13879549 + ... + 13997251.

It is an arithmetic number, because the mean of its divisors is an integer number (16857566880).

Almost surely, 2^{1640591495200} is an apocalyptic number.

1640591495200 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 1640591495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427489630720).

1640591495200 is an abundant number, since it is smaller than the sum of its proper divisors (3214387766240).

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

1640591495200 is a wasteful number, since it uses less digits than its factorization.

1640591495200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117880 (or 117867 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 1640591495200 in words is "one trillion, six hundred forty billion, five hundred ninety-one million, four hundred ninety-five thousand, two hundred".