1038479959616 has 448 divisors, whose sum is σ = 2586280181760. Its totient is φ = 407666688000.

The previous prime is 1038479959603. The next prime is 1038479959619. The reversal of 1038479959616 is 6169599748301.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is not an unprimeable number, because it can be changed into a prime (1038479959619) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1117846640 + ... + 1117847568.

Almost surely, 2^{1038479959616} is an apocalyptic number.

1038479959616 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 1038479959616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293140090880).

1038479959616 is an abundant number, since it is smaller than the sum of its proper divisors (1547800222144).

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

1038479959616 is a wasteful number, since it uses less digits than its factorization.

1038479959616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 68.

The spelling of 1038479959616 in words is "one trillion, thirty-eight billion, four hundred seventy-nine million, nine hundred fifty-nine thousand, six hundred sixteen".