1023300434400 has 576 divisors, whose sum is σ = 3723399187200. Its totient is φ = 242590187520.

The previous prime is 1023300434399. The next prime is 1023300434407. The reversal of 1023300434400 is 44340033201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023300434407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289147831 + ... + 289151369.

It is an arithmetic number, because the mean of its divisors is an integer number (6464234700).

Almost surely, 2^{1023300434400} is an apocalyptic number.

1023300434400 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 1023300434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861699593600).

1023300434400 is an abundant number, since it is smaller than the sum of its proper divisors (2700098752800).

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

1023300434400 is a wasteful number, since it uses less digits than its factorization.

1023300434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1023300434400 its reverse (44340033201), we get a palindrome (1067640467601).

The spelling of 1023300434400 in words is "one trillion, twenty-three billion, three hundred million, four hundred thirty-four thousand, four hundred".