1995630683400 has 576 divisors, whose sum is σ = 7190914283280. Its totient is φ = 494213529600.

The previous prime is 1995630683351. The next prime is 1995630683407. The reversal of 1995630683400 is 43860365991.

1995630683400 is a `hidden beast` number, since 19 + 9 + 563 + 0 + 68 + 3 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 524926332324 + 1470704351076 = 724518^2 + 1212726^2 .

It is not an unprimeable number, because it can be changed into a prime (1995630683407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1249611402 + ... + 1249612998.

Almost surely, 2^{1995630683400} is an apocalyptic number.

1995630683400 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 1995630683400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595457141640).

1995630683400 is an abundant number, since it is smaller than the sum of its proper divisors (5195283599880).

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

1995630683400 is a wasteful number, since it uses less digits than its factorization.

1995630683400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1995630683400 in words is "one trillion, nine hundred ninety-five billion, six hundred thirty million, six hundred eighty-three thousand, four hundred".