1004014020016 has 80 divisors (see below), whose sum is σ = 2303567115840. Its totient is φ = 414779904000.

The previous prime is 1004014020013. The next prime is 1004014020089. The reversal of 1004014020016 is 6100204104001.

1004014020016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1004014019975 and 1004014020002.

It is not an unprimeable number, because it can be changed into a prime (1004014020013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1753516 + ... + 2254516.

It is an arithmetic number, because the mean of its divisors is an integer number (28794588948).

Almost surely, 2^{1004014020016} is an apocalyptic number.

1004014020016 is a gapful number since it is divisible by the number (16) 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 1004014020016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151783557920).

1004014020016 is an abundant number, since it is smaller than the sum of its proper divisors (1299553095824).

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

1004014020016 is a wasteful number, since it uses less digits than its factorization.

1004014020016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501662 (or 501656 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1004014020016 its reverse (6100204104001), we get a palindrome (7104218124017).

The spelling of 1004014020016 in words is "one trillion, four billion, fourteen million, twenty thousand, sixteen".