1001442624 has 168 divisors, whose sum is σ = 3279769920. Its totient is φ = 264056832.

The previous prime is 1001442619. The next prime is 1001442641. The reversal of 1001442624 is 4262441001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1001442594 and 1001442603.

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, 224932 + ... + 229340.

It is an arithmetic number, because the mean of its divisors is an integer number (19522440).

Almost surely, 2^1001442624 is an apocalyptic number.

1001442624 is a gapful number since it is divisible by the number (14) 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 1001442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639884960).

1001442624 is an abundant number, since it is smaller than the sum of its proper divisors (2278327296).

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

1001442624 is a wasteful number, since it uses less digits than its factorization.

1001442624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1001442624 is about 31645.5782693254. The cubic root of 1001442624 is about 1000.4806436114.

Adding to 1001442624 its reverse (4262441001), we get a palindrome (5263883625).

The spelling of 1001442624 in words is "one billion, one million, four hundred forty-two thousand, six hundred twenty-four".