41179488 has 96 divisors (see below), whose sum is σ = 124540416. Its totient is φ = 11670528.

The previous prime is 41179477. The next prime is 41179511. The reversal of 41179488 is 88497114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156445 + ... + 156707.

It is an arithmetic number, because the mean of its divisors is an integer number (1297296).

Almost surely, 2^41179488 is an apocalyptic number.

41179488 is a gapful number since it is divisible by the number (48) 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 41179488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270208).

41179488 is an abundant number, since it is smaller than the sum of its proper divisors (83360928).

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

41179488 is a wasteful number, since it uses less digits than its factorization.

41179488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 41179488 is about 6417.1245897209. The cubic root of 41179488 is about 345.3241733515.

The spelling of 41179488 in words is "forty-one million, one hundred seventy-nine thousand, four hundred eighty-eight".