41638788 has 18 divisors (see below), whose sum is σ = 105253694. Its totient is φ = 13879584.

The previous prime is 41638787. The next prime is 41638789. The reversal of 41638788 is 88783614.

41638788 is a `hidden beast` number, since 4 + 1 + 638 + 7 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (41638787) and next prime (41638789).

It can be written as a sum of positive squares in only one way, i.e., 30669444 + 10969344 = 5538^2 + 3312^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×41638788² = 3467577332217888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41638781) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 578281 + ... + 578352.

Almost surely, 2^41638788 is an apocalyptic number.

It is an amenable number.

41638788 is an abundant number, since it is smaller than the sum of its proper divisors (63614906).

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

41638788 is a wasteful number, since it uses less digits than its factorization.

41638788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156643 (or 1156638 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 41638788 is about 6452.8124101046. The cubic root of 41638788 is about 346.6032999729.

It can be divided in two parts, 416 and 38788, that added together give a square (39204 = 198²).

The spelling of 41638788 in words is "forty-one million, six hundred thirty-eight thousand, seven hundred eighty-eight".