41431800648 has 384 divisors, whose sum is σ = 131108025600. Its totient is φ = 10875648000.

The previous prime is 41431800647. The next prime is 41431800661. The reversal of 41431800648 is 84600813414.

It is a super-2 number, since 2×41431800648² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41431800647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 410215798 + ... + 410215898.

It is an arithmetic number, because the mean of its divisors is an integer number (341427150).

Almost surely, 2^41431800648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41431800648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65554012800).

41431800648 is an abundant number, since it is smaller than the sum of its proper divisors (89676224952).

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

41431800648 is a wasteful number, since it uses less digits than its factorization.

41431800648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 41431800648 in words is "forty-one billion, four hundred thirty-one million, eight hundred thousand, six hundred forty-eight".