1995040480320 has 448 divisors, whose sum is σ = 7258613514240. Its totient is φ = 515534616576.

The previous prime is 1995040480313. The next prime is 1995040480339. The reversal of 1995040480320 is 230840405991.

1995040480320 is a `hidden beast` number, since 1 + 99 + 50 + 4 + 0 + 480 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47161899 + ... + 47204181.

Almost surely, 2^{1995040480320} is an apocalyptic number.

1995040480320 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 1995040480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629306757120).

1995040480320 is an abundant number, since it is smaller than the sum of its proper divisors (5263573033920).

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

1995040480320 is a wasteful number, since it uses less digits than its factorization.

1995040480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42479 (or 42463 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1995040480320 in words is "one trillion, nine hundred ninety-five billion, forty million, four hundred eighty thousand, three hundred twenty".