41776128 has 88 divisors (see below), whose sum is σ = 123802560. Its totient is φ = 13916160.

The previous prime is 41776109. The next prime is 41776169. The reversal of 41776128 is 82167714.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41776092 and 41776101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26893 + ... + 28403.

Almost surely, 2^41776128 is an apocalyptic number.

41776128 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 41776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61901280).

41776128 is an abundant number, since it is smaller than the sum of its proper divisors (82026432).

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

41776128 is a wasteful number, since it uses less digits than its factorization.

41776128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1516 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 41776128 is about 6463.4455207730. The cubic root of 41776128 is about 346.9839567144.

The spelling of 41776128 in words is "forty-one million, seven hundred seventy-six thousand, one hundred twenty-eight".