41249280 has 160 divisors (see below), whose sum is σ = 136116288. Its totient is φ = 10649600.

The previous prime is 41249261. The next prime is 41249303. The reversal of 41249280 is 8294214.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×41249280³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 314815 + ... + 314945.

Almost surely, 2^41249280 is an apocalyptic number.

41249280 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 41249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68058144).

41249280 is an abundant number, since it is smaller than the sum of its proper divisors (94867008).

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

41249280 is a wasteful number, since it uses less digits than its factorization.

41249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 41249280 is about 6422.5602371640. The cubic root of 41249280 is about 345.5191511839.

The spelling of 41249280 in words is "forty-one million, two hundred forty-nine thousand, two hundred eighty".