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41201404244 = 227111367383401
BaseRepresentation
bin100110010111110010…
…111000100101010100
310221100101201012021222
4212113302320211110
51133340024413434
630532213025512
72656003105040
oct462762704524
9127311635258
1041201404244
1116523133910
127b9a325298
133b67c48c50
141dcbd85020
1511121ed72e
hex997cb8954

41201404244 has 192 divisors, whose sum is σ = 98756001792. Its totient is φ = 14522112000.

The previous prime is 41201404243. The next prime is 41201404247. The reversal of 41201404244 is 44240410214.

41201404244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41201404243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102746444 + ... + 102746844.

It is an arithmetic number, because the mean of its divisors is an integer number (514354176).

Almost surely, 241201404244 is an apocalyptic number.

41201404244 is a gapful number since it is divisible by the number (44) 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 41201404244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49378000896).

41201404244 is an abundant number, since it is smaller than the sum of its proper divisors (57554597548).

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

41201404244 is a wasteful number, since it uses less digits than its factorization.

41201404244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 41201404244 its reverse (44240410214), we get a palindrome (85441814458).

The spelling of 41201404244 in words is "forty-one billion, two hundred one million, four hundred four thousand, two hundred forty-four".