41395675663440 has 2400 divisors, whose sum is σ = 180446813521920. Its totient is φ = 8591235840000.

The previous prime is 41395675663411. The next prime is 41395675663513. The reversal of 41395675663440 is 4436657659314.

41395675663440 is a `hidden beast` number, since 4 + 1 + 3 + 9 + 5 + 67 + 566 + 3 + 4 + 4 + 0 = 666.

It is a super-3 number, since 3×41395675663440³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 125062464075 + ... + 125062464405.

Almost surely, 2^{41395675663440} is an apocalyptic number.

41395675663440 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 41395675663440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90223406760960).

41395675663440 is an abundant number, since it is smaller than the sum of its proper divisors (139051137858480).

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

41395675663440 is a wasteful number, since it uses less digits than its factorization.

41395675663440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 41395675663440 in words is "forty-one trillion, three hundred ninety-five billion, six hundred seventy-five million, six hundred sixty-three thousand, four hundred forty".