41258880 has 384 divisors, whose sum is σ = 167076000. Its totient is φ = 9289728.

The previous prime is 41258863. The next prime is 41258891. The reversal of 41258880 is 8885214.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422706 + ... + 1422734.

Almost surely, 2^41258880 is an apocalyptic number.

41258880 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 41258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83538000).

41258880 is an abundant number, since it is smaller than the sum of its proper divisors (125817120).

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

41258880 is a wasteful number, since it uses less digits than its factorization.

41258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 41258880 is about 6423.3075591941. The cubic root of 41258880 is about 345.5459534826.

It can be divided in two parts, 4 and 1258880, that added together give a square (1258884 = 1122²).

The spelling of 41258880 in words is "forty-one million, two hundred fifty-eight thousand, eight hundred eighty".