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40320404124 = 2237111337257353
BaseRepresentation
bin100101100011010010…
…001000101010011100
310212001222221202022220
4211203102020222130
51130034010412444
630304542105340
72625114531420
oct454322105234
9125058852286
1040320404124
11161108a9440
12799327b250
133a575756c0
141d46d72b80
1510aebc6619
hex963488a9c

40320404124 has 384 divisors, whose sum is σ = 130606221312. Its totient is φ = 9342812160.

The previous prime is 40320404071. The next prime is 40320404129. The reversal of 40320404124 is 42140402304.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40320404094 and 40320404103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40320404129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114221932 + ... + 114222284.

It is an arithmetic number, because the mean of its divisors is an integer number (340120368).

Almost surely, 240320404124 is an apocalyptic number.

40320404124 is a gapful number since it is divisible by the number (44) 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 40320404124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65303110656).

40320404124 is an abundant number, since it is smaller than the sum of its proper divisors (90285817188).

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

40320404124 is a wasteful number, since it uses less digits than its factorization.

40320404124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40320404124 its reverse (42140402304), we get a palindrome (82460806428).

It can be divided in two parts, 40320 and 404124, that added together give a palindrome (444444).

The spelling of 40320404124 in words is "forty billion, three hundred twenty million, four hundred four thousand, one hundred twenty-four".