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40644162389376 = 27327213217250619
BaseRepresentation
bin10010011110111001101001…
…10111001000010110000000
312022220112200120002220002200
421033130310313020112000
520311403221032430001
6222235400451513200
711363305143026400
oct1117346467102600
9168815616086080
1040644162389376
1111a50102094427
12468513b8b8800
13198a960745100
14a0728ba72800
154a73abbc2086
hex24f734dc8580

40644162389376 has 864 divisors, whose sum is σ = 155990341517400. Its totient is φ = 10088749891584.

The previous prime is 40644162389357. The next prime is 40644162389407. The reversal of 40644162389376 is 67398326144604.

40644162389376 is a `hidden beast` number, since 4 + 0 + 6 + 441 + 6 + 2 + 38 + 93 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 162049795 + ... + 162300413.

Almost surely, 240644162389376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40644162389376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995170758700).

40644162389376 is an abundant number, since it is smaller than the sum of its proper divisors (115346179128024).

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

40644162389376 is a wasteful number, since it uses less digits than its factorization.

40644162389376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250696 (or 250661 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 40644162389376 in words is "forty trillion, six hundred forty-four billion, one hundred sixty-two million, three hundred eighty-nine thousand, three hundred seventy-six".