1940950204416 has 240 divisors, whose sum is σ = 5760171221280. Its totient is φ = 645928058880.

The previous prime is 1940950204351. The next prime is 1940950204447. The reversal of 1940950204416 is 6144020590491.

1940950204416 is a `hidden beast` number, since 1 + 94 + 0 + 9 + 502 + 0 + 44 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299479896 + ... + 299486376.

It is an arithmetic number, because the mean of its divisors is an integer number (24000713422).

Almost surely, 2^{1940950204416} is an apocalyptic number.

1940950204416 is a gapful number since it is divisible by the number (16) 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 1940950204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880085610640).

1940950204416 is an abundant number, since it is smaller than the sum of its proper divisors (3819221016864).

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

1940950204416 is an frugal number, since it uses more digits than its factorization.

1940950204416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7195 (or 7163 counting only the distinct ones).

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

The spelling of 1940950204416 in words is "one trillion, nine hundred forty billion, nine hundred fifty million, two hundred four thousand, four hundred sixteen".