1940093602272 has 288 divisors, whose sum is σ = 6436269927360. Its totient is φ = 542877327360.

The previous prime is 1940093602261. The next prime is 1940093602283. The reversal of 1940093602272 is 2722063900491.

1940093602272 is a `hidden beast` number, since 19 + 4 + 0 + 0 + 9 + 3 + 602 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1940093602261) and next prime (1940093602283).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28619554 + ... + 28687262.

It is an arithmetic number, because the mean of its divisors is an integer number (22348159470).

Almost surely, 2^{1940093602272} is an apocalyptic number.

1940093602272 is a gapful number since it is divisible by the number (12) 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 1940093602272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218134963680).

1940093602272 is an abundant number, since it is smaller than the sum of its proper divisors (4496176325088).

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

1940093602272 is a wasteful number, since it uses less digits than its factorization.

1940093602272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68026 (or 68015 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1940093602272 in words is "one trillion, nine hundred forty billion, ninety-three million, six hundred two thousand, two hundred seventy-two".