41955648 has 224 divisors, whose sum is σ = 140451840. Its totient is φ = 10782720.

The previous prime is 41955647. The next prime is 41955649. The reversal of 41955648 is 84655914.

It is an interprime number because it is at equal distance from previous prime (41955647) and next prime (41955649).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41955647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 791590 + ... + 791642.

Almost surely, 2^41955648 is an apocalyptic number.

41955648 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 41955648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70225920).

41955648 is an abundant number, since it is smaller than the sum of its proper divisors (98496192).

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

41955648 is a wasteful number, since it uses less digits than its factorization.

41955648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 41955648 is about 6477.3179634784. The cubic root of 41955648 is about 347.4802652561.

The spelling of 41955648 in words is "forty-one million, nine hundred fifty-five thousand, six hundred forty-eight".