41648640000 has 1040 divisors, whose sum is σ = 165814672320. Its totient is φ = 9175040000.

The previous prime is 41648639999. The next prime is 41648640001. The reversal of 41648640000 is 4684614.

It is an interprime number because it is at equal distance from previous prime (41648639999) and next prime (41648640001).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41648640001) 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, 1436159986 + ... + 1436160014.

Almost surely, 2^41648640000 is an apocalyptic number.

41648640000 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 41648640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82907336160).

41648640000 is an abundant number, since it is smaller than the sum of its proper divisors (124166032320).

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

41648640000 is a wasteful number, since it uses less digits than its factorization.

41648640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 41648640000 in words is "forty-one billion, six hundred forty-eight million, six hundred forty thousand".