41109949440 has 1320 divisors, whose sum is σ = 182495781600. Its totient is φ = 8843821056.

The previous prime is 41109949379. The next prime is 41109949511. The reversal of 41109949440 is 4494990114.

41109949440 is a `hidden beast` number, since 4 + 110 + 9 + 9 + 494 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2418232312 + ... + 2418232328.

It is an arithmetic number, because the mean of its divisors is an integer number (138254380).

Almost surely, 2^41109949440 is an apocalyptic number.

41109949440 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 41109949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91247890800).

41109949440 is an abundant number, since it is smaller than the sum of its proper divisors (141385832160).

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

41109949440 is an equidigital number, since it uses as much as digits as its factorization.

41109949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 41109949440 in words is "forty-one billion, one hundred nine million, nine hundred forty-nine thousand, four hundred forty".