1068144440 has 96 divisors (see below), whose sum is σ = 2657340000. Its totient is φ = 386115840.

The previous prime is 1068144433. The next prime is 1068144461. The reversal of 1068144440 is 444418601.

It is a super-2 number, since 2×1068144440² = 2281865089405827200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1068144397 and 1068144406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 962606 + ... + 963714.

It is an arithmetic number, because the mean of its divisors is an integer number (27680625).

Almost surely, 2^1068144440 is an apocalyptic number.

1068144440 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 1068144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328670000).

1068144440 is an abundant number, since it is smaller than the sum of its proper divisors (1589195560).

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

1068144440 is a wasteful number, since it uses less digits than its factorization.

1068144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 1068144440 is about 32682.4790981345. The cubic root of 1068144440 is about 1022.2175386434.

The spelling of 1068144440 in words is "one billion, sixty-eight million, one hundred forty-four thousand, four hundred forty".