41358164077440 has 1792 divisors, whose sum is σ = 180029376576000. Its totient is φ = 8870629883904.

The previous prime is 41358164077423. The next prime is 41358164077457. The reversal of 41358164077440 is 4477046185314.

41358164077440 is a `hidden beast` number, since 4 + 1 + 35 + 8 + 164 + 0 + 7 + 7 + 440 = 666.

41358164077440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41358164077423) and next prime (41358164077457).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6639612246 + ... + 6639618474.

It is an arithmetic number, because the mean of its divisors is an integer number (100462821750).

Almost surely, 2^{41358164077440} is an apocalyptic number.

41358164077440 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 41358164077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90014688288000).

41358164077440 is an abundant number, since it is smaller than the sum of its proper divisors (138671212498560).

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

41358164077440 is a wasteful number, since it uses less digits than its factorization.

41358164077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 41358164077440 in words is "forty-one trillion, three hundred fifty-eight billion, one hundred sixty-four million, seventy-seven thousand, four hundred forty".