41888340000 has 1260 divisors, whose sum is σ = 177147627426. Its totient is φ = 9704448000.

The previous prime is 41888339981. The next prime is 41888340007. The reversal of 41888340000 is 4388814.

It can be written as a sum of positive squares in 15 ways, for example, as 26489515536 + 15398824464 = 162756^2 + 124092^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41888340007) by changing a digit.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 2464019992 + ... + 2464020008.

Almost surely, 2^41888340000 is an apocalyptic number.

41888340000 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 41888340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88573813713).

41888340000 is an abundant number, since it is smaller than the sum of its proper divisors (135259287426).

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

41888340000 is an equidigital number, since it uses as much as digits as its factorization.

41888340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 41888340000 in words is "forty-one billion, eight hundred eighty-eight million, three hundred forty thousand".