1023430541504 has 112 divisors (see below), whose sum is σ = 2336812086336. Its totient is φ = 435630182400.

The previous prime is 1023430541467. The next prime is 1023430541509. The reversal of 1023430541504 is 4051450343201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1023430541509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66565562 + ... + 66580934.

It is an arithmetic number, because the mean of its divisors is an integer number (20864393628).

Almost surely, 2^{1023430541504} is an apocalyptic number.

1023430541504 is a gapful number since it is divisible by the number (14) 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 1023430541504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168406043168).

1023430541504 is an abundant number, since it is smaller than the sum of its proper divisors (1313381544832).

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

1023430541504 is a wasteful number, since it uses less digits than its factorization.

1023430541504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16394 (or 16384 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 1023430541504 its reverse (4051450343201), we get a palindrome (5074880884705).

The spelling of 1023430541504 in words is "one trillion, twenty-three billion, four hundred thirty million, five hundred forty-one thousand, five hundred four".