41873160 has 128 divisors (see below), whose sum is σ = 145612800. Its totient is φ = 9434880.

The previous prime is 41873149. The next prime is 41873171. The reversal of 41873160 is 6137814.

41873160 = T₁ + T₂ + ... + T₆₃₀.

It is a happy number.

41873160 is a nontrivial binomial coefficient, being equal to C(632, 3).

It is an interprime number because it is at equal distance from previous prime (41873149) and next prime (41873171).

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

It is an unprimeable number.

It is the 630-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66045 + ... + 66675.

It is an arithmetic number, because the mean of its divisors is an integer number (1137600).

Almost surely, 2^41873160 is an apocalyptic number.

41873160 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 41873160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72806400).

41873160 is an abundant number, since it is smaller than the sum of its proper divisors (103739640).

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

41873160 is a wasteful number, since it uses less digits than its factorization.

41873160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 41873160 is about 6470.9473804073. The cubic root of 41873160 is about 347.2523916280.

The spelling of 41873160 in words is "forty-one million, eight hundred seventy-three thousand, one hundred sixty".