1001142432 has 72 divisors (see below), whose sum is σ = 2876429556. Its totient is φ = 330264576.

The previous prime is 1001142403. The next prime is 1001142449. The reversal of 1001142432 is 2342411001.

It can be written as a sum of positive squares in 2 ways, for example, as 983198736 + 17943696 = 31356^2 + 4236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10018 + ... + 45854.

Almost surely, 2^1001142432 is an apocalyptic number.

1001142432 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 1001142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438214778).

1001142432 is an abundant number, since it is smaller than the sum of its proper divisors (1875287124).

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

1001142432 is a wasteful number, since it uses less digits than its factorization.

1001142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35950 (or 35939 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1001142432 is about 31640.8348815261. The cubic root of 1001142432 is about 1000.3806657419.

Adding to 1001142432 its reverse (2342411001), we get a palindrome (3343553433).

The spelling of 1001142432 in words is "one billion, one million, one hundred forty-two thousand, four hundred thirty-two".