23132435040 has 288 divisors, whose sum is σ = 92740860576. Its totient is φ = 5176442880.

The previous prime is 23132435003. The next prime is 23132435057. The reversal of 23132435040 is 4053423132.

23132435040 is a `hidden beast` number, since 23 + 132 + 4 + 3 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 23132434995 and 23132435013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149752 + ... + 262088.

It is an arithmetic number, because the mean of its divisors is an integer number (322016877).

Almost surely, 2^23132435040 is an apocalyptic number.

23132435040 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 23132435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46370430288).

23132435040 is an abundant number, since it is smaller than the sum of its proper divisors (69608425536).

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

23132435040 is a wasteful number, since it uses less digits than its factorization.

23132435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112382 (or 112371 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 23132435040 its reverse (4053423132), we get a palindrome (27185858172).

The spelling of 23132435040 in words is "twenty-three billion, one hundred thirty-two million, four hundred thirty-five thousand, forty".