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40969442246880 = 25357671271432987
BaseRepresentation
bin10010101000010111100010…
…00011010100000011100000
312101001122021212112201222110
421110023301003110003200
520332220404203400010
6223045034004035320
711425641654141360
oct1124136103240340
9171048255481873
1040969442246880
1112066052093844
12471819b392b40
1319b252ba74a84
14a18d083aa9a0
154b0a988d4120
hex2542f10d40e0

40969442246880 has 384 divisors, whose sum is σ = 150870112468992. Its totient is φ = 9152034490368.

The previous prime is 40969442246791. The next prime is 40969442246899. The reversal of 40969442246880 is 8864224496904.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 27873747 + ... + 29306733.

It is an arithmetic number, because the mean of its divisors is an integer number (392890917888).

Almost surely, 240969442246880 is an apocalyptic number.

40969442246880 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 40969442246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75435056234496).

40969442246880 is an abundant number, since it is smaller than the sum of its proper divisors (109900670222112).

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

40969442246880 is a wasteful number, since it uses less digits than its factorization.

40969442246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433206 (or 1433198 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 66.

The spelling of 40969442246880 in words is "forty trillion, nine hundred sixty-nine billion, four hundred forty-two million, two hundred forty-six thousand, eight hundred eighty".