1038556416 has 144 divisors (see below), whose sum is σ = 2942051840. Its totient is φ = 324311040.

The previous prime is 1038556391. The next prime is 1038556423. The reversal of 1038556416 is 6146558301.

1038556416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1502631 + ... + 1503321.

Almost surely, 2^1038556416 is an apocalyptic number.

1038556416 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 1038556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471025920).

1038556416 is an abundant number, since it is smaller than the sum of its proper divisors (1903495424).

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

1038556416 is a wasteful number, since it uses less digits than its factorization.

1038556416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 1038556416 is about 32226.6414011761. The cubic root of 1038556416 is about 1012.6904108893.

The spelling of 1038556416 in words is "one billion, thirty-eight million, five hundred fifty-six thousand, four hundred sixteen".