1023342244400 has 360 divisors, whose sum is σ = 2971682925120. Its totient is φ = 337264005120.

The previous prime is 1023342244321. The next prime is 1023342244411. The reversal of 1023342244400 is 44422433201.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132433337 + ... + 132441063.

It is an arithmetic number, because the mean of its divisors is an integer number (8254674792).

Almost surely, 2^{1023342244400} is an apocalyptic number.

1023342244400 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 1023342244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485841462560).

1023342244400 is an abundant number, since it is smaller than the sum of its proper divisors (1948340680720).

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

1023342244400 is a wasteful number, since it uses less digits than its factorization.

1023342244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8021 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 1023342244400 its reverse (44422433201), we get a palindrome (1067764677601).

The spelling of 1023342244400 in words is "one trillion, twenty-three billion, three hundred forty-two million, two hundred forty-four thousand, four hundred".