1013442400 has 72 divisors (see below), whose sum is σ = 2478685104. Its totient is φ = 404620800.

The previous prime is 1013442329. The next prime is 1013442401. The reversal of 1013442400 is 42443101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013442401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 656029 + ... + 657571.

It is an arithmetic number, because the mean of its divisors is an integer number (34426182).

Almost surely, 2^1013442400 is an apocalyptic number.

1013442400 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 1013442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239342552).

1013442400 is an abundant number, since it is smaller than the sum of its proper divisors (1465242704).

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

1013442400 is a wasteful number, since it uses less digits than its factorization.

1013442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1013442400 is about 31834.6100965600. The cubic root of 1013442400 is about 1004.4608710401.

Adding to 1013442400 its reverse (42443101), we get a palindrome (1055885501).

The spelling of 1013442400 in words is "one billion, thirteen million, four hundred forty-two thousand, four hundred".