41058015040 has 448 divisors, whose sum is σ = 121666406400. Its totient is φ = 12886401024.

The previous prime is 41058015029. The next prime is 41058015049. The reversal of 41058015040 is 4051085014.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41058015049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208416222 + ... + 208416418.

It is an arithmetic number, because the mean of its divisors is an integer number (271576800).

Almost surely, 2^41058015040 is an apocalyptic number.

41058015040 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 41058015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60833203200).

41058015040 is an abundant number, since it is smaller than the sum of its proper divisors (80608391360).

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

41058015040 is a wasteful number, since it uses less digits than its factorization.

41058015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 41058015040 in words is "forty-one billion, fifty-eight million, fifteen thousand, forty".