41363587440 has 320 divisors, whose sum is σ = 163046707200. Its totient is φ = 9441847296.

The previous prime is 41363587439. The next prime is 41363587457. The reversal of 41363587440 is 4478536314.

41363587440 is a `hidden beast` number, since 4 + 1 + 3 + 63 + 587 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15708364 + ... + 15710996.

It is an arithmetic number, because the mean of its divisors is an integer number (509520960).

Almost surely, 2^41363587440 is an apocalyptic number.

41363587440 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 41363587440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81523353600).

41363587440 is an abundant number, since it is smaller than the sum of its proper divisors (121683119760).

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

41363587440 is a wasteful number, since it uses less digits than its factorization.

41363587440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 41363587440 in words is "forty-one billion, three hundred sixty-three million, five hundred eighty-seven thousand, four hundred forty".