41122287360 has 1728 divisors, whose sum is σ = 196705926144. Its totient is φ = 7962624000.

The previous prime is 41122287317. The next prime is 41122287373. The reversal of 41122287360 is 6378222114.

It is a happy number.

41122287360 is a `hidden beast` number, since 4 + 1 + 12 + 2 + 287 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 407151310 + ... + 407151410.

It is an arithmetic number, because the mean of its divisors is an integer number (113834448).

Almost surely, 2^41122287360 is an apocalyptic number.

41122287360 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 41122287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98352963072).

41122287360 is an abundant number, since it is smaller than the sum of its proper divisors (155583638784).

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

41122287360 is a wasteful number, since it uses less digits than its factorization.

41122287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 41122287360 in words is "forty-one billion, one hundred twenty-two million, two hundred eighty-seven thousand, three hundred sixty".