1442688520 has 256 divisors, whose sum is σ = 4209408000. Its totient is φ = 432746496.

The previous prime is 1442688517. The next prime is 1442688521. The reversal of 1442688520 is 258862441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1442688521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8339154 + ... + 8339326.

It is an arithmetic number, because the mean of its divisors is an integer number (16443000).

Almost surely, 2^1442688520 is an apocalyptic number.

1442688520 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 1442688520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104704000).

1442688520 is an abundant number, since it is smaller than the sum of its proper divisors (2766719480).

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

1442688520 is a wasteful number, since it uses less digits than its factorization.

1442688520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 1442688520 is about 37982.7397642666. The cubic root of 1442688520 is about 1129.9455739051.

The spelling of 1442688520 in words is "one billion, four hundred forty-two million, six hundred eighty-eight thousand, five hundred twenty".