1038909840 has 80 divisors (see below), whose sum is σ = 3240500928. Its totient is φ = 275332608.

The previous prime is 1038909821. The next prime is 1038909841. The reversal of 1038909840 is 489098301.

1038909840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1038909792 and 1038909801.

It is not an unprimeable number, because it can be changed into a prime (1038909841) 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, 25842 + ... + 52398.

Almost surely, 2^1038909840 is an apocalyptic number.

1038909840 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 1038909840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620250464).

1038909840 is an abundant number, since it is smaller than the sum of its proper divisors (2201591088).

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

1038909840 is a wasteful number, since it uses less digits than its factorization.

1038909840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26736 (or 26730 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1038909840 is about 32232.1243482337. The cubic root of 1038909840 is about 1012.8052717669.

The spelling of 1038909840 in words is "one billion, thirty-eight million, nine hundred nine thousand, eight hundred forty".