41415648 has 96 divisors (see below), whose sum is σ = 113508864. Its totient is φ = 13212672.

The previous prime is 41415637. The next prime is 41415653. The reversal of 41415648 is 84651414.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×41415648³ (a number of 24 digits) contains 333 as substring.

Its product of digits (15360) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302236 + ... + 302372.

It is an arithmetic number, because the mean of its divisors is an integer number (1182384).

Almost surely, 2^41415648 is an apocalyptic number.

41415648 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 41415648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56754432).

41415648 is an abundant number, since it is smaller than the sum of its proper divisors (72093216).

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

41415648 is a wasteful number, since it uses less digits than its factorization.

41415648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 41415648 is about 6435.4990482479. The cubic root of 41415648 is about 345.9830479404.

The spelling of 41415648 in words is "forty-one million, four hundred fifteen thousand, six hundred forty-eight".