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40969543680 = 2133251383103
BaseRepresentation
bin100110001001111110…
…011010000000000000
310220202020102110101200
4212021332122000000
51132401200344210
630453211301200
72650156242522
oct461176320000
9126666373350
1040969543680
111641426a60a
127b3474a800
133b2bbb7b50
141da926ba12
1510ebb9e0c0
hex989f9a000

40969543680 has 672 divisors, whose sum is σ = 156289101696. Its totient is φ = 9866575872.

The previous prime is 40969543663. The next prime is 40969543691. The reversal of 40969543680 is 8634596904.

40969543680 is a `hidden beast` number, since 4 + 0 + 96 + 9 + 543 + 6 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397762509 + ... + 397762611.

It is an arithmetic number, because the mean of its divisors is an integer number (232573068).

Almost surely, 240969543680 is an apocalyptic number.

40969543680 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 40969543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78144550848).

40969543680 is an abundant number, since it is smaller than the sum of its proper divisors (115319558016).

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

40969543680 is a wasteful number, since it uses less digits than its factorization.

40969543680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 40969543680 in words is "forty billion, nine hundred sixty-nine million, five hundred forty-three thousand, six hundred eighty".