4013376617544 has 384 divisors, whose sum is σ = 12262385157120. Its totient is φ = 1090294732800.

The previous prime is 4013376617531. The next prime is 4013376617599. The reversal of 4013376617544 is 4457166733104.

It is a happy number.

It is a super-2 number, since 2×4013376617544² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 416709609 + ... + 416719239.

It is an arithmetic number, because the mean of its divisors is an integer number (31933294680).

Almost surely, 2^{4013376617544} 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 4013376617544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131192578560).

4013376617544 is an abundant number, since it is smaller than the sum of its proper divisors (8249008539576).

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

4013376617544 is a wasteful number, since it uses less digits than its factorization.

4013376617544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9909 (or 9898 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 4013376617544 in words is "four trillion, thirteen billion, three hundred seventy-six million, six hundred seventeen thousand, five hundred forty-four".