41440053807360 has 720 divisors, whose sum is σ = 160049023130304. Its totient is φ = 10177455734784.

The previous prime is 41440053807289. The next prime is 41440053807379. The reversal of 41440053807360 is 6370835004414.

41440053807360 is a `hidden beast` number, since 4 + 1 + 4 + 40 + 0 + 538 + 0 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 79 ways as a sum of consecutive naturals, for example, 597058419 + ... + 597127821.

Almost surely, 2^{41440053807360} is an apocalyptic number.

41440053807360 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 41440053807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80024511565152).

41440053807360 is an abundant number, since it is smaller than the sum of its proper divisors (118608969322944).

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

41440053807360 is a wasteful number, since it uses less digits than its factorization.

41440053807360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69892 (or 69869 counting only the distinct ones).

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

The spelling of 41440053807360 in words is "forty-one trillion, four hundred forty billion, fifty-three million, eight hundred seven thousand, three hundred sixty".