1442679120 has 160 divisors (see below), whose sum is σ = 5230915200. Its totient is φ = 364455936.

The previous prime is 1442679113. The next prime is 1442679127. The reversal of 1442679120 is 219762441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1442679113) and next prime (1442679127).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442679127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23464 + ... + 58616.

It is an arithmetic number, because the mean of its divisors is an integer number (32693220).

Almost surely, 2^1442679120 is an apocalyptic number.

1442679120 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 1442679120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615457600).

1442679120 is an abundant number, since it is smaller than the sum of its proper divisors (3788236080).

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

1442679120 is a wasteful number, since it uses less digits than its factorization.

1442679120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35194 (or 35182 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1442679120 is about 37982.6160236496. The cubic root of 1442679120 is about 1129.9431198038.

The spelling of 1442679120 in words is "one billion, four hundred forty-two million, six hundred seventy-nine thousand, one hundred twenty".