1042234400 has 144 divisors (see below), whose sum is σ = 2652580224. Its totient is φ = 399559680.

The previous prime is 1042234373. The next prime is 1042234409. The reversal of 1042234400 is 44322401.

1042234400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1042234409) 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, 1992539 + ... + 1993061.

It is an arithmetic number, because the mean of its divisors is an integer number (18420696).

Almost surely, 2^1042234400 is an apocalyptic number.

1042234400 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 1042234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326290112).

1042234400 is an abundant number, since it is smaller than the sum of its proper divisors (1610345824).

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

1042234400 is a wasteful number, since it uses less digits than its factorization.

1042234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1042234400 is about 32283.6553072913. The cubic root of 1042234400 is about 1013.8844628178.

Adding to 1042234400 its reverse (44322401), we get a palindrome (1086556801).

The spelling of 1042234400 in words is "one billion, forty-two million, two hundred thirty-four thousand, four hundred".