4038940286416 has 160 divisors (see below), whose sum is σ = 9579958272000. Its totient is φ = 1646740287360.

The previous prime is 4038940286389. The next prime is 4038940286419. The reversal of 4038940286416 is 6146820498304.

It is a super-2 number, since 2×4038940286416² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4038940286419) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9836361 + ... + 10238743.

It is an arithmetic number, because the mean of its divisors is an integer number (59874739200).

Almost surely, 2^{4038940286416} 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 4038940286416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789979136000).

4038940286416 is an abundant number, since it is smaller than the sum of its proper divisors (5541017985584).

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

4038940286416 is a wasteful number, since it uses less digits than its factorization.

4038940286416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402502 (or 402482 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 55.

The spelling of 4038940286416 in words is "four trillion, thirty-eight billion, nine hundred forty million, two hundred eighty-six thousand, four hundred sixteen".