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40399321543680 = 210351117191211349
BaseRepresentation
bin10010010111110001100110…
…01101011011010000000000
312022001010201011212020012110
421023320303031123100000
520243400302303344210
6221531105254455320
711336516564132001
oct1113706315332000
9168033634766173
1040399321543680
111196628a892170
1246457ab064540
13197084149a658
149d94a25111a8
154a0d2bc9b420
hex24be3335b400

40399321543680 has 1408 divisors, whose sum is σ = 151177782067200. Its totient is φ = 9099804672000.

The previous prime is 40399321543661. The next prime is 40399321543687. The reversal of 40399321543680 is 8634512399304.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a self number, because there is not a number n which added to its sum of digits gives 40399321543680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40399321543687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115757368146 + ... + 115757368494.

Almost surely, 240399321543680 is an apocalyptic number.

40399321543680 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 40399321543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75588891033600).

40399321543680 is an abundant number, since it is smaller than the sum of its proper divisors (110778460523520).

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

40399321543680 is a wasteful number, since it uses less digits than its factorization.

40399321543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 40399321543680 in words is "forty trillion, three hundred ninety-nine billion, three hundred twenty-one million, five hundred forty-three thousand, six hundred eighty".