41488588800 has 840 divisors, whose sum is σ = 160022656332. Its totient is φ = 10616832000.

The previous prime is 41488588741. The next prime is 41488588811. The reversal of 41488588800 is 888588414.

41488588800 is a `hidden beast` number, since 4 + 1 + 488 + 5 + 88 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 146313216 + 41342275584 = 12096^2 + 203328^2 .

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 680140770 + ... + 680140830.

Almost surely, 2^41488588800 is an apocalyptic number.

41488588800 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 41488588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80011328166).

41488588800 is an abundant number, since it is smaller than the sum of its proper divisors (118534067532).

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

41488588800 is an equidigital number, since it uses as much as digits as its factorization.

41488588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 54.

The spelling of 41488588800 in words is "forty-one billion, four hundred eighty-eight million, five hundred eighty-eight thousand, eight hundred".