23142435840 has 264 divisors, whose sum is σ = 80529143760. Its totient is φ = 6145081344.

The previous prime is 23142435817. The next prime is 23142435851. The reversal of 23142435840 is 4853424132.

23142435840 is a `hidden beast` number, since 2 + 3 + 142 + 435 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23142435795 and 23142435804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12394587 + ... + 12396453.

Almost surely, 2^23142435840 is an apocalyptic number.

23142435840 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 23142435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40264571880).

23142435840 is an abundant number, since it is smaller than the sum of its proper divisors (57386707920).

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

23142435840 is a wasteful number, since it uses less digits than its factorization.

23142435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 23142435840 its reverse (4853424132), we get a palindrome (27995859972).

The spelling of 23142435840 in words is "twenty-three billion, one hundred forty-two million, four hundred thirty-five thousand, eight hundred forty".