1442164752 has 240 divisors, whose sum is σ = 4890936960. Its totient is φ = 387514368.

The previous prime is 1442164681. The next prime is 1442164753. The reversal of 1442164752 is 2574612441.

1442164752 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 1 + 647 + 5 + 2 = 666.

It is a super-2 number, since 2×1442164752² = 4159678343822443008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1442164753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4921918 + ... + 4922210.

It is an arithmetic number, because the mean of its divisors is an integer number (20378904).

Almost surely, 2^1442164752 is an apocalyptic number.

1442164752 is a gapful number since it is divisible by the number (12) 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 1442164752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445468480).

1442164752 is an abundant number, since it is smaller than the sum of its proper divisors (3448772208).

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

1442164752 is a wasteful number, since it uses less digits than its factorization.

1442164752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 581 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 1442164752 is about 37975.8443224111. The cubic root of 1442164752 is about 1129.8088151244.

The spelling of 1442164752 in words is "one billion, four hundred forty-two million, one hundred sixty-four thousand, seven hundred fifty-two".