1995014400 has 216 divisors, whose sum is σ = 6812897280. Its totient is φ = 513515520.

The previous prime is 1995014381. The next prime is 1995014453. The reversal of 1995014400 is 44105991.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 555009 + ... + 558591.

Almost surely, 2^1995014400 is an apocalyptic number.

1995014400 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 1995014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406448640).

1995014400 is an abundant number, since it is smaller than the sum of its proper divisors (4817882880).

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

1995014400 is a wasteful number, since it uses less digits than its factorization.

1995014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1995014400 is about 44665.5840664823. The cubic root of 1995014400 is about 1258.8732683777.

The spelling of 1995014400 in words is "one billion, nine hundred ninety-five million, fourteen thousand, four hundred".