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40320414041 is a prime number
BaseRepresentation
bin100101100011010010…
…001011000101011001
310212001222222020221012
4211203102023011121
51130034011222131
630304542223305
72625114602345
oct454322130531
9125058866835
1040320414041
1116110905936
127993284b35
133a5757a07b
141d46d76625
1510aebc952b
hex96348b159

40320414041 has 2 divisors, whose sum is σ = 40320414042. Its totient is φ = 40320414040.

The previous prime is 40320414011. The next prime is 40320414073. The reversal of 40320414041 is 14041402304.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37839975625 + 2480438416 = 194525^2 + 49804^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40320414041 is a prime.

It is a super-3 number, since 3×403204140413 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40320413998 and 40320414016.

It is not a weakly prime, because it can be changed into another prime (40320414011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20160207020 + 20160207021.

It is an arithmetic number, because the mean of its divisors is an integer number (20160207021).

Almost surely, 240320414041 is an apocalyptic number.

It is an amenable number.

40320414041 is a deficient number, since it is larger than the sum of its proper divisors (1).

40320414041 is an equidigital number, since it uses as much as digits as its factorization.

40320414041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 40320414041 its reverse (14041402304), we get a palindrome (54361816345).

The spelling of 40320414041 in words is "forty billion, three hundred twenty million, four hundred fourteen thousand, forty-one".