41377920 has 128 divisors (see below), whose sum is σ = 137773440. Its totient is φ = 10543104.

The previous prime is 41377883. The next prime is 41377957. The reversal of 41377920 is 2977314.

It is an interprime number because it is at equal distance from previous prime (41377883) and next prime (41377957).

It is a tau number, because it is divible by the number of its divisors (128).

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, 43692 + ... + 44628.

It is an arithmetic number, because the mean of its divisors is an integer number (1076355).

Almost surely, 2^41377920 is an apocalyptic number.

41377920 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 41377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68886720).

41377920 is an abundant number, since it is smaller than the sum of its proper divisors (96395520).

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

41377920 is a wasteful number, since it uses less digits than its factorization.

41377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 41377920 is about 6432.5671391755. The cubic root of 41377920 is about 345.8779571134.

The spelling of 41377920 in words is "forty-one million, three hundred seventy-seven thousand, nine hundred twenty".