41040049248 has 768 divisors, whose sum is σ = 150885504000. Its totient is φ = 10683187200.

The previous prime is 41040049223. The next prime is 41040049249. The reversal of 41040049248 is 84294004014.

41040049248 is a `hidden beast` number, since 4 + 1 + 0 + 400 + 4 + 9 + 248 = 666.

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 (41040049249) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89023738 + ... + 89024198.

It is an arithmetic number, because the mean of its divisors is an integer number (196465500).

Almost surely, 2^41040049248 is an apocalyptic number.

41040049248 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 41040049248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75442752000).

41040049248 is an abundant number, since it is smaller than the sum of its proper divisors (109845454752).

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

41040049248 is a wasteful number, since it uses less digits than its factorization.

41040049248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 41040049248 in words is "forty-one billion, forty million, forty-nine thousand, two hundred forty-eight".