1038442496 has 168 divisors, whose sum is σ = 2614726800. Its totient is φ = 408748032.

The previous prime is 1038442459. The next prime is 1038442499. The reversal of 1038442496 is 6942448301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038442499) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5218205 + ... + 5218403.

It is an arithmetic number, because the mean of its divisors is an integer number (15563850).

Almost surely, 2^1038442496 is an apocalyptic number.

1038442496 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 1038442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307363400).

1038442496 is an abundant number, since it is smaller than the sum of its proper divisors (1576284304).

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

1038442496 is an equidigital number, since it uses as much as digits as its factorization.

1038442496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 1038442496 is about 32224.8738709712. The cubic root of 1038442496 is about 1012.6533819555.

The spelling of 1038442496 in words is "one billion, thirty-eight million, four hundred forty-two thousand, four hundred ninety-six".