1940616399744 has 768 divisors, whose sum is σ = 6524438976000. Its totient is φ = 567799372800.

The previous prime is 1940616399737. The next prime is 1940616399763. The reversal of 1940616399744 is 4479936160491.

1940616399744 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 616 + 3 + 9 + 9 + 7 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4420538277 + ... + 4420538715.

It is an arithmetic number, because the mean of its divisors is an integer number (8495363250).

Almost surely, 2^{1940616399744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940616399744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262219488000).

1940616399744 is an abundant number, since it is smaller than the sum of its proper divisors (4583822576256).

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

1940616399744 is an equidigital number, since it uses as much as digits as its factorization.

1940616399744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 1940616399744 in words is "one trillion, nine hundred forty billion, six hundred sixteen million, three hundred ninety-nine thousand, seven hundred forty-four".