41793840 has 160 divisors (see below), whose sum is σ = 157132800. Its totient is φ = 10126080.

The previous prime is 41793833. The next prime is 41793877. The reversal of 41793840 is 4839714.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 41793795 and 41793804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22881 + ... + 24639.

It is an arithmetic number, because the mean of its divisors is an integer number (982080).

Almost surely, 2^41793840 is an apocalyptic number.

41793840 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 41793840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78566400).

41793840 is an abundant number, since it is smaller than the sum of its proper divisors (115338960).

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

41793840 is a wasteful number, since it uses less digits than its factorization.

41793840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 41793840 is about 6464.8155426122. The cubic root of 41793840 is about 347.0329871997.

It can be divided in two parts, 41 and 793840, that added together give a square (793881 = 891²).

The spelling of 41793840 in words is "forty-one million, seven hundred ninety-three thousand, eight hundred forty".