41286528192 has 672 divisors, whose sum is σ = 146262547200. Its totient is φ = 10158317568.

The previous prime is 41286528149. The next prime is 41286528197. The reversal of 41286528192 is 29182568214.

41286528192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (41286528197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253291503 + ... + 253291665.

It is an arithmetic number, because the mean of its divisors is an integer number (217652600).

Almost surely, 2^41286528192 is an apocalyptic number.

41286528192 is a gapful number since it is divisible by the number (42) 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 41286528192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73131273600).

41286528192 is an abundant number, since it is smaller than the sum of its proper divisors (104976019008).

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

41286528192 is a wasteful number, since it uses less digits than its factorization.

41286528192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The spelling of 41286528192 in words is "forty-one billion, two hundred eighty-six million, five hundred twenty-eight thousand, one hundred ninety-two".