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41413442400 = 25335211174299
BaseRepresentation
bin100110100100011011…
…101111101101100000
310221220011200211222000
4212210123233231200
51134303320124100
631005225444000
72664156311061
oct464433575540
9127804624860
1041413442400
1116621899260
128039340600
133b9cb59705
14200c1bc568
151125b34900
hex9a46efb60

41413442400 has 288 divisors, whose sum is σ = 163395792000. Its totient is φ = 10039564800.

The previous prime is 41413442393. The next prime is 41413442453. The reversal of 41413442400 is 424431414.

41413442400 is a `hidden beast` number, since 4 + 1 + 413 + 4 + 4 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×414134424002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150451 + ... + 324749.

It is an arithmetic number, because the mean of its divisors is an integer number (567346500).

Almost surely, 241413442400 is an apocalyptic number.

41413442400 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 41413442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81697896000).

41413442400 is an abundant number, since it is smaller than the sum of its proper divisors (121982349600).

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

41413442400 is a wasteful number, since it uses less digits than its factorization.

41413442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174339 (or 174320 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41413442400 its reverse (424431414), we get a palindrome (41837873814).

The spelling of 41413442400 in words is "forty-one billion, four hundred thirteen million, four hundred forty-two thousand, four hundred".