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40000168276640 = 255111319217892707
BaseRepresentation
bin10010001100001010000111…
…10100100011001010100000
312020121222102111120100110122
421012011003310203022200
520220330321034323030
6221023453523015412
711265626313264125
oct1106050364431240
9166558374510418
1040000168276640
1111821a8120a880
1245a037350a568
131941ccc3c5540
149c40389a074c
154957698ab8e5
hex246143d232a0

40000168276640 has 576 divisors, whose sum is σ = 117281023735680. Its totient is φ = 12708158791680.

The previous prime is 40000168276567. The next prime is 40000168276763. The reversal of 40000168276640 is 4667286100004.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 40000168276591 and 40000168276600.

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 95 ways as a sum of consecutive naturals, for example, 14776566167 + ... + 14776568873.

It is an arithmetic number, because the mean of its divisors is an integer number (203612888430).

Almost surely, 240000168276640 is an apocalyptic number.

40000168276640 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 40000168276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58640511867840).

40000168276640 is an abundant number, since it is smaller than the sum of its proper divisors (77280855459040).

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

40000168276640 is a wasteful number, since it uses less digits than its factorization.

40000168276640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 40000168276640 in words is "forty trillion, one hundred sixty-eight million, two hundred seventy-six thousand, six hundred forty".