1002142464 has 72 divisors (see below), whose sum is σ = 2681376432. Its totient is φ = 332267520.

The previous prime is 1002142439. The next prime is 1002142481. The reversal of 1002142464 is 4642412001.

It is a happy number.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 144844 + ... + 151604.

Almost surely, 2^1002142464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340688216).

1002142464 is an abundant number, since it is smaller than the sum of its proper divisors (1679233968).

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

1002142464 is an equidigital number, since it uses as much as digits as its factorization.

1002142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6973 (or 6959 counting only the distinct ones).

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

The square root of 1002142464 is about 31656.6338071501. The cubic root of 1002142464 is about 1000.7136452560.

Adding to 1002142464 its reverse (4642412001), we get a palindrome (5644554465).

The spelling of 1002142464 in words is "one billion, two million, one hundred forty-two thousand, four hundred sixty-four".