3140425016064 has 576 divisors, whose sum is σ = 10845127802880. Its totient is φ = 877879296000.

The previous prime is 3140425016041. The next prime is 3140425016077. The reversal of 3140425016064 is 4606105240413.

3140425016064 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 42 + 5 + 0 + 1 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448564564 + ... + 448571564.

It is an arithmetic number, because the mean of its divisors is an integer number (18828346880).

Almost surely, 2^{3140425016064} 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 3140425016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5422563901440).

3140425016064 is an abundant number, since it is smaller than the sum of its proper divisors (7704702786816).

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

3140425016064 is a wasteful number, since it uses less digits than its factorization.

3140425016064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7233 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3140425016064 in words is "three trillion, one hundred forty billion, four hundred twenty-five million, sixteen thousand, sixty-four".