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40665420480 = 26352317910289
BaseRepresentation
bin100101110111110110…
…010001001011000000
310212222001011101210110
4211313312101023000
51131240321423410
630403105031320
72636504241126
oct456766211300
9125861141713
1040665420480
111627862a323
127a6a925540
133ab0ba53a9
141d7ab03916
1510d0128720
hex977d912c0

40665420480 has 224 divisors, whose sum is σ = 135492134400. Its totient is φ = 10313678848.

The previous prime is 40665420473. The next prime is 40665420527. The reversal of 40665420480 is 8402456604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3947176 + ... + 3957464.

It is an arithmetic number, because the mean of its divisors is an integer number (604875600).

Almost surely, 240665420480 is an apocalyptic number.

40665420480 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 40665420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67746067200).

40665420480 is an abundant number, since it is smaller than the sum of its proper divisors (94826713920).

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

40665420480 is a wasteful number, since it uses less digits than its factorization.

40665420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10511 (or 10501 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 40665420480 in words is "forty billion, six hundred sixty-five million, four hundred twenty thousand, four hundred eighty".