41977760 has 192 divisors, whose sum is σ = 121492224. Its totient is φ = 13516800.

The previous prime is 41977757. The next prime is 41977781. The reversal of 41977760 is 6777914.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688130 + ... + 688190.

It is an arithmetic number, because the mean of its divisors is an integer number (632772).

Almost surely, 2^41977760 is an apocalyptic number.

41977760 is a gapful number since it is divisible by the number (40) 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 41977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60746112).

41977760 is an abundant number, since it is smaller than the sum of its proper divisors (79514464).

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

41977760 is a wasteful number, since it uses less digits than its factorization.

41977760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 41.

The square root of 41977760 is about 6479.0246179498. The cubic root of 41977760 is about 347.5412990268.

The spelling of 41977760 in words is "forty-one million, nine hundred seventy-seven thousand, seven hundred sixty".