1442166440 has 128 divisors (see below), whose sum is σ = 4036677120. Its totient is φ = 455577600.

The previous prime is 1442166419. The next prime is 1442166463. The reversal of 1442166440 is 446612441.

1442166440 = T₁₃ + T₁₄ + ... + T₂₀₅₂.

It is a junction number, because it is equal to n+sod(n) for n = 1442166397 and 1442166406.

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, 89825 + ... + 104655.

It is an arithmetic number, because the mean of its divisors is an integer number (31536540).

Almost surely, 2^1442166440 is an apocalyptic number.

1442166440 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 1442166440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018338560).

1442166440 is an abundant number, since it is smaller than the sum of its proper divisors (2594510680).

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

1442166440 is a wasteful number, since it uses less digits than its factorization.

1442166440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14883 (or 14879 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 1442166440 is about 37975.8665470585. The cubic root of 1442166440 is about 1129.8092559239.

Adding to 1442166440 its reverse (446612441), we get a palindrome (1888778881).

The spelling of 1442166440 in words is "one billion, four hundred forty-two million, one hundred sixty-six thousand, four hundred forty".