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41340115440 = 243251383127419
BaseRepresentation
bin100110100000000100…
…000001100111110000
310221201001201110021200
4212200010001213300
51134131032143230
630554050051200
72662306116621
oct464004014760
9127631643250
1041340115440
1116594465668
128018879b00
133b8a8c4790
142002571a48
15111e49d160
hex9a01019f0

41340115440 has 480 divisors, whose sum is σ = 152870215680. Its totient is φ = 9950459904.

The previous prime is 41340115387. The next prime is 41340115477. The reversal of 41340115440 is 4451104314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98663551 + ... + 98663969.

It is an arithmetic number, because the mean of its divisors is an integer number (318479616).

Almost surely, 241340115440 is an apocalyptic number.

41340115440 is a gapful number since it is divisible by the number (40) 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 41340115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76435107840).

41340115440 is an abundant number, since it is smaller than the sum of its proper divisors (111530100240).

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

41340115440 is a wasteful number, since it uses less digits than its factorization.

41340115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 41340115440 its reverse (4451104314), we get a palindrome (45791219754).

The spelling of 41340115440 in words is "forty-one billion, three hundred forty million, one hundred fifteen thousand, four hundred forty".