41286747237120 has 2304 divisors, whose sum is σ = 186891398184960. Its totient is φ = 8382386995200.

The previous prime is 41286747237017. The next prime is 41286747237121. The reversal of 41286747237120 is 2173274768214.

It is a happy number.

41286747237120 is a `hidden beast` number, since 4 + 1 + 2 + 86 + 7 + 472 + 3 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (41286747237121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27108828679 + ... + 27108830201.

It is an arithmetic number, because the mean of its divisors is an integer number (81116058240).

Almost surely, 2^{41286747237120} is an apocalyptic number.

41286747237120 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 41286747237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93445699092480).

41286747237120 is an abundant number, since it is smaller than the sum of its proper divisors (145604650947840).

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

41286747237120 is a wasteful number, since it uses less digits than its factorization.

41286747237120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 41286747237120 in words is "forty-one trillion, two hundred eighty-six billion, seven hundred forty-seven million, two hundred thirty-seven thousand, one hundred twenty".