1940437856016 has 405 divisors, whose sum is σ = 6103835306751. Its totient is φ = 575028748800.

The previous prime is 1940437856011. The next prime is 1940437856029. The reversal of 1940437856016 is 6106587340491.

The square root of 1940437856016 is 1392996.

It is a perfect power (a square), and thus also a powerful number.

1940437856016 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 4 + 3 + 78 + 560 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29673507600 + 1910764348416 = 172260^2 + 1382304^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1940437856011) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11216403706 + ... + 11216403878.

Almost surely, 2^{1940437856016} is an apocalyptic number.

1940437856016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1940437856016 is the 1392996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940437856016

1940437856016 is an abundant number, since it is smaller than the sum of its proper divisors (4163397450735).

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

1940437856016 is a wasteful number, since it uses less digits than its factorization.

1940437856016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1940437856016 in words is "one trillion, nine hundred forty billion, four hundred thirty-seven million, eight hundred fifty-six thousand, sixteen".