1995049114240 has 768 divisors, whose sum is σ = 6397195069440. Its totient is φ = 578683699200.

The previous prime is 1995049114211. The next prime is 1995049114309. The reversal of 1995049114240 is 424119405991.

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, 651762310 + ... + 651765370.

It is an arithmetic number, because the mean of its divisors is an integer number (8329681080).

Almost surely, 2^{1995049114240} is an apocalyptic number.

1995049114240 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 1995049114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198597534720).

1995049114240 is an abundant number, since it is smaller than the sum of its proper divisors (4402145955200).

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

1995049114240 is a wasteful number, since it uses less digits than its factorization.

1995049114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The spelling of 1995049114240 in words is "one trillion, nine hundred ninety-five billion, forty-nine million, one hundred fourteen thousand, two hundred forty".