41648048640 has 1200 divisors, whose sum is σ = 176999787360. Its totient is φ = 9256550400.

The previous prime is 41648048597. The next prime is 41648048699. The reversal of 41648048640 is 4684084614.

41648048640 is a `hidden beast` number, since 4 + 164 + 8 + 0 + 486 + 4 + 0 = 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, 1343485425 + ... + 1343485455.

Almost surely, 2^41648048640 is an apocalyptic number.

41648048640 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 41648048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88499893680).

41648048640 is an abundant number, since it is smaller than the sum of its proper divisors (135351738720).

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

41648048640 is a wasteful number, since it uses less digits than its factorization.

41648048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 41648048640 in words is "forty-one billion, six hundred forty-eight million, forty-eight thousand, six hundred forty".