41777664 has 80 divisors (see below), whose sum is σ = 113430240. Its totient is φ = 13660160.

The previous prime is 41777657. The next prime is 41777669. The reversal of 41777664 is 46677714.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41777669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90394 + ... + 90854.

It is an arithmetic number, because the mean of its divisors is an integer number (1417878).

Almost surely, 2^41777664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56715120).

41777664 is an abundant number, since it is smaller than the sum of its proper divisors (71652576).

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

41777664 is an equidigital number, since it uses as much as digits as its factorization.

41777664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 525 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 41777664 is about 6463.5643417545. The cubic root of 41777664 is about 346.9882092293.

The spelling of 41777664 in words is "forty-one million, seven hundred seventy-seven thousand, six hundred sixty-four".