1940584578816 has 288 divisors, whose sum is σ = 6199228304640. Its totient is φ = 532400504832.

The previous prime is 1940584578739. The next prime is 1940584578827. The reversal of 1940584578816 is 6188754850491.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2923951 + ... + 3525713.

It is an arithmetic number, because the mean of its divisors is an integer number (21525098280).

Almost surely, 2^{1940584578816} is an apocalyptic number.

1940584578816 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 1940584578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099614152320).

1940584578816 is an abundant number, since it is smaller than the sum of its proper divisors (4258643725824).

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

1940584578816 is a wasteful number, since it uses less digits than its factorization.

1940584578816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601831 (or 601817 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 66.

The spelling of 1940584578816 in words is "one trillion, nine hundred forty billion, five hundred eighty-four million, five hundred seventy-eight thousand, eight hundred sixteen".