3916385965440 has 384 divisors, whose sum is σ = 14692977542880. Its totient is φ = 955500134400.

The previous prime is 3916385965421. The next prime is 3916385965507. The reversal of 3916385965440 is 445695836193.

3916385965440 is a `hidden beast` number, since 3 + 9 + 1 + 6 + 3 + 85 + 9 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 8230015 + ... + 8692865.

Almost surely, 2^{3916385965440} is an apocalyptic number.

3916385965440 is a gapful number since it is divisible by the number (30) 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 3916385965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7346488771440).

3916385965440 is an abundant number, since it is smaller than the sum of its proper divisors (10776591577440).

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

3916385965440 is a wasteful number, since it uses less digits than its factorization.

3916385965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463002 (or 462987 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 3916385965440 in words is "three trillion, nine hundred sixteen billion, three hundred eighty-five million, nine hundred sixty-five thousand, four hundred forty".