1050042400 has 144 divisors (see below), whose sum is σ = 2961372960. Its totient is φ = 359321600.

The previous prime is 1050042397. The next prime is 1050042401. The reversal of 1050042400 is 42400501.

It is a super-2 number, since 2×1050042400² = 2205178083595520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1050042401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146091 + ... + 153109.

It is an arithmetic number, because the mean of its divisors is an integer number (20565090).

Almost surely, 2^1050042400 is an apocalyptic number.

1050042400 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 1050042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480686480).

1050042400 is an abundant number, since it is smaller than the sum of its proper divisors (1911330560).

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

1050042400 is a wasteful number, since it uses less digits than its factorization.

1050042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7067 (or 7054 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1050042400 is about 32404.3577316385. The cubic root of 1050042400 is about 1016.4100376483.

Adding to 1050042400 its reverse (42400501), we get a palindrome (1092442901).

It can be divided in two parts, 10500 and 42400, that added together give a square (52900 = 230²).

The spelling of 1050042400 in words is "one billion, fifty million, forty-two thousand, four hundred".