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40565040432 = 24373191031259
BaseRepresentation
bin100101110001110111…
…010110010100110000
310212201001021120020220
4211301313112110300
51131034122243212
630345121333040
72634145104000
oct456167262460
9125631246226
1040565040432
11162269a9304
127a41197180
133a9615a907
141d6b654000
1510c63eb38c
hex971dd6530

40565040432 has 320 divisors, whose sum is σ = 129991680000. Its totient is φ = 10864772352.

The previous prime is 40565040431. The next prime is 40565040497. The reversal of 40565040432 is 23404056504.

40565040432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40565040393 and 40565040402.

It is not an unprimeable number, because it can be changed into a prime (40565040431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32219419 + ... + 32220677.

It is an arithmetic number, because the mean of its divisors is an integer number (406224000).

Almost surely, 240565040432 is an apocalyptic number.

40565040432 is a gapful number since it is divisible by the number (42) 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 40565040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840000).

40565040432 is an abundant number, since it is smaller than the sum of its proper divisors (89426639568).

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

40565040432 is a wasteful number, since it uses less digits than its factorization.

40565040432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 40565040432 its reverse (23404056504), we get a palindrome (63969096936).

The spelling of 40565040432 in words is "forty billion, five hundred sixty-five million, forty thousand, four hundred thirty-two".