41083640000 has 420 divisors, whose sum is σ = 114844263072. Its totient is φ = 14484480000.

The previous prime is 41083639981. The next prime is 41083640009. The reversal of 41083640000 is 4638014.

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

It is not an unprimeable number, because it can be changed into a prime (41083640009) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 874119977 + ... + 874120023.

Almost surely, 2^41083640000 is an apocalyptic number.

41083640000 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 41083640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57422131536).

41083640000 is an abundant number, since it is smaller than the sum of its proper divisors (73760623072).

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

41083640000 is an equidigital number, since it uses as much as digits as its factorization.

41083640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 41083640000 in words is "forty-one billion, eighty-three million, six hundred forty thousand".