4076314618740 has 1536 divisors, whose sum is σ = 15801827328000. Its totient is φ = 777501204480.

The previous prime is 4076314618723. The next prime is 4076314618759. The reversal of 4076314618740 is 478164136704.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 9457806325 + ... + 9457806755.

It is an arithmetic number, because the mean of its divisors is an integer number (10287648000).

Almost surely, 2^{4076314618740} 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 4076314618740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900913664000).

4076314618740 is an abundant number, since it is smaller than the sum of its proper divisors (11725512709260).

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

4076314618740 is a wasteful number, since it uses less digits than its factorization.

4076314618740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 4076314618740 in words is "four trillion, seventy-six billion, three hundred fourteen million, six hundred eighteen thousand, seven hundred forty".