41006430064640 has 416 divisors, whose sum is σ = 105532864968960. Its totient is φ = 15257019875328.

The previous prime is 41006430064559. The next prime is 41006430064687. The reversal of 41006430064640 is 4646003460014.

It is a super-2 number, since 2×41006430064640² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41006430064594 and 41006430064603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4719345416 + ... + 4719354104.

It is an arithmetic number, because the mean of its divisors is an integer number (253684771560).

Almost surely, 2^{41006430064640} is an apocalyptic number.

41006430064640 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 41006430064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52766432484480).

41006430064640 is an abundant number, since it is smaller than the sum of its proper divisors (64526434904320).

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

41006430064640 is a wasteful number, since it uses less digits than its factorization.

41006430064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9017 (or 8995 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 41006430064640 in words is "forty-one trillion, six billion, four hundred thirty million, sixty-four thousand, six hundred forty".