1995411640320 has 1248 divisors, whose sum is σ = 8684923852800. Its totient is φ = 413185867776.

The previous prime is 1995411640307. The next prime is 1995411640357. The reversal of 1995411640320 is 230461145991.

1995411640320 is a `hidden beast` number, since 1 + 99 + 541 + 16 + 4 + 0 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×1995411640320² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 563833111 + ... + 563836649.

It is an arithmetic number, because the mean of its divisors is an integer number (6959073600).

Almost surely, 2^{1995411640320} is an apocalyptic number.

1995411640320 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 1995411640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342461926400).

1995411640320 is an abundant number, since it is smaller than the sum of its proper divisors (6689512212480).

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

1995411640320 is a wasteful number, since it uses less digits than its factorization.

1995411640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1995411640320 in words is "one trillion, nine hundred ninety-five billion, four hundred eleven million, six hundred forty thousand, three hundred twenty".