1038311040 has 256 divisors, whose sum is σ = 3775403520. Its totient is φ = 240451584.

The previous prime is 1038311033. The next prime is 1038311059. The reversal of 1038311040 is 401138301.

It is a junction number, because it is equal to n+sod(n) for n = 1038310998 and 1038311016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423097 + ... + 425543.

It is an arithmetic number, because the mean of its divisors is an integer number (14747670).

Almost surely, 2^1038311040 is an apocalyptic number.

1038311040 is a gapful number since it is divisible by the number (10) 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 1038311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887701760).

1038311040 is an abundant number, since it is smaller than the sum of its proper divisors (2737092480).

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

1038311040 is a wasteful number, since it uses less digits than its factorization.

1038311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1038311040 is about 32222.8341397835. The cubic root of 1038311040 is about 1012.6106496967.

Adding to 1038311040 its reverse (401138301), we get a palindrome (1439449341).

The spelling of 1038311040 in words is "one billion, thirty-eight million, three hundred eleven thousand, forty".