41449097088 has 896 divisors, whose sum is σ = 154118246400. Its totient is φ = 10839121920.

The previous prime is 41449097047. The next prime is 41449097089. The reversal of 41449097088 is 88079094414.

41449097088 is a `hidden beast` number, since 4 + 1 + 4 + 490 + 9 + 70 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41449097089) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 465720148 + ... + 465720236.

Almost surely, 2^41449097088 is an apocalyptic number.

41449097088 is a gapful number since it is divisible by the number (48) 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 41449097088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77059123200).

41449097088 is an abundant number, since it is smaller than the sum of its proper divisors (112669149312).

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

41449097088 is an equidigital number, since it uses as much as digits as its factorization.

41449097088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 41449097088 in words is "forty-one billion, four hundred forty-nine million, ninety-seven thousand, eighty-eight".