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4040471032640 = 265710723997027
BaseRepresentation
bin111010110010111110110…
…101110011001101000000
3112022021011101002011201222
4322302332311303031000
51012144341041021030
612332100004414212
7564625432052660
oct72627665631500
915267141064658
104040471032640
111318610621489
125530a16a7368
13234026630123
14dd7ba2c21a0
157017ded73e5
hex3acbed73340

4040471032640 has 224 divisors, whose sum is σ = 11104824729600. Its totient is φ = 1371590313984.

The previous prime is 4040471032579. The next prime is 4040471032643. The reversal of 4040471032640 is 462301740404.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4040471032640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040471032643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574988807 + ... + 574995833.

It is an arithmetic number, because the mean of its divisors is an integer number (49575110400).

Almost surely, 24040471032640 is an apocalyptic number.

4040471032640 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 4040471032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552412364800).

4040471032640 is an abundant number, since it is smaller than the sum of its proper divisors (7064353696960).

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

4040471032640 is a wasteful number, since it uses less digits than its factorization.

4040471032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9557 (or 9547 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 4040471032640 in words is "four trillion, forty billion, four hundred seventy-one million, thirty-two thousand, six hundred forty".