1016338440 has 128 divisors (see below), whose sum is σ = 3293136000. Its totient is φ = 249446400.

The previous prime is 1016338439. The next prime is 1016338451. The reversal of 1016338440 is 448336101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1016338398 and 1016338407.

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, 699715 + ... + 701165.

It is an arithmetic number, because the mean of its divisors is an integer number (25727625).

Almost surely, 2^1016338440 is an apocalyptic number.

1016338440 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 1016338440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646568000).

1016338440 is an abundant number, since it is smaller than the sum of its proper divisors (2276797560).

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

1016338440 is a wasteful number, since it uses less digits than its factorization.

1016338440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1016338440 is about 31880.0633625468. The cubic root of 1016338440 is about 1005.4167524812.

The spelling of 1016338440 in words is "one billion, sixteen million, three hundred thirty-eight thousand, four hundred forty".