24240040020432 has 160 divisors (see below), whose sum is σ = 70621321196160. Its totient is φ = 7958857927680.

The previous prime is 24240040020353. The next prime is 24240040020541. The reversal of 24240040020432 is 23402004004242.

24240040020432 is a `hidden beast` number, since 2 + 4 + 24 + 0 + 0 + 400 + 204 + 32 = 666.

It is a super-3 number, since 3×24240040020432³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 24240040020396 and 24240040020405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705434932 + ... + 705469292.

It is an arithmetic number, because the mean of its divisors is an integer number (441383257476).

Almost surely, 2^{24240040020432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24240040020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35310660598080).

24240040020432 is an abundant number, since it is smaller than the sum of its proper divisors (46381281175728).

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

24240040020432 is a wasteful number, since it uses less digits than its factorization.

24240040020432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58818 (or 58806 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 24240040020432 its reverse (23402004004242), we get a palindrome (47642044024674).

The spelling of 24240040020432 in words is "twenty-four trillion, two hundred forty billion, forty million, twenty thousand, four hundred thirty-two".