1023434322400 has 144 divisors (see below), whose sum is σ = 2947491348480. Its totient is φ = 339572620800.

The previous prime is 1023434322397. The next prime is 1023434322401. The reversal of 1023434322400 is 42234343201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023434322401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2774080 + ... + 3121279.

It is an arithmetic number, because the mean of its divisors is an integer number (20468689920).

Almost surely, 2^{1023434322400} is an apocalyptic number.

1023434322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023434322400 is an abundant number, since it is smaller than the sum of its proper divisors (1924057026080).

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

1023434322400 is a wasteful number, since it uses less digits than its factorization.

1023434322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895417 (or 5895404 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 1023434322400 its reverse (42234343201), we get a palindrome (1065668665601).

The spelling of 1023434322400 in words is "one trillion, twenty-three billion, four hundred thirty-four million, three hundred twenty-two thousand, four hundred".