41712880 has 80 divisors (see below), whose sum is σ = 107028864. Its totient is φ = 14992640.

The previous prime is 41712871. The next prime is 41712893. The reversal of 41712880 is 8821714.

41712880 = 429² + 430² + ... + 588².

It is a tau number, because it is divible by the number of its divisors (80).

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, 93939 + ... + 94381.

Almost surely, 2^41712880 is an apocalyptic number.

41712880 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 41712880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53514432).

41712880 is an abundant number, since it is smaller than the sum of its proper divisors (65315984).

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

41712880 is a wasteful number, since it uses less digits than its factorization.

41712880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 41712880 is about 6458.5509210658. The cubic root of 41712880 is about 346.8087599619.

The spelling of 41712880 in words is "forty-one million, seven hundred twelve thousand, eight hundred eighty".