23024001431040 has 320 divisors, whose sum is σ = 76956260198400. Its totient is φ = 5861227986944.

The previous prime is 23024001431003. The next prime is 23024001431047. The reversal of 23024001431040 is 4013410042032.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23024001431040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23024001431047) 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 31 ways as a sum of consecutive naturals, for example, 89781721 + ... + 90037799.

It is an arithmetic number, because the mean of its divisors is an integer number (240488313120).

Almost surely, 2^{23024001431040} is an apocalyptic number.

23024001431040 is a gapful number since it is divisible by the number (20) 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 23024001431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38478130099200).

23024001431040 is an abundant number, since it is smaller than the sum of its proper divisors (53932258767360).

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

23024001431040 is a wasteful number, since it uses less digits than its factorization.

23024001431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256637 (or 256621 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23024001431040 its reverse (4013410042032), we get a palindrome (27037411473072).

The spelling of 23024001431040 in words is "twenty-three trillion, twenty-four billion, one million, four hundred thirty-one thousand, forty".