41198077440 has 1600 divisors, whose sum is σ = 179673500160. Its totient is φ = 8918138880.

The previous prime is 41198077391. The next prime is 41198077447. The reversal of 41198077440 is 4477089114.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41198077447) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1328970225 + ... + 1328970255.

Almost surely, 2^41198077440 is an apocalyptic number.

41198077440 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 41198077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89836750080).

41198077440 is an abundant number, since it is smaller than the sum of its proper divisors (138475422720).

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

41198077440 is a wasteful number, since it uses less digits than its factorization.

41198077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 41198077440 in words is "forty-one billion, one hundred ninety-eight million, seventy-seven thousand, four hundred forty".