41244147648 has 560 divisors, whose sum is σ = 138294148608. Its totient is φ = 12047616000.

The previous prime is 41244147643. The next prime is 41244147677. The reversal of 41244147648 is 84674144214.

41244147648 is a `hidden beast` number, since 4 + 124 + 414 + 76 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41244147643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 246970861 + ... + 246971027.

Almost surely, 2^41244147648 is an apocalyptic number.

41244147648 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 41244147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69147074304).

41244147648 is an abundant number, since it is smaller than the sum of its proper divisors (97050000960).

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

41244147648 is a wasteful number, since it uses less digits than its factorization.

41244147648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The spelling of 41244147648 in words is "forty-one billion, two hundred forty-four million, one hundred forty-seven thousand, six hundred forty-eight".