41440128 has 64 divisors (see below), whose sum is σ = 110747520. Its totient is φ = 13729280.

The previous prime is 41440123. The next prime is 41440141. The reversal of 41440128 is 82104414.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 41440098 and 41440107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41440123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119251 + ... + 119597.

It is an arithmetic number, because the mean of its divisors is an integer number (1730430).

Almost surely, 2^41440128 is an apocalyptic number.

41440128 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 41440128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55373760).

41440128 is an abundant number, since it is smaller than the sum of its proper divisors (69307392).

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

41440128 is a wasteful number, since it uses less digits than its factorization.

41440128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 41440128 is about 6437.4007176810. The cubic root of 41440128 is about 346.0512025086.

The spelling of 41440128 in words is "forty-one million, four hundred forty thousand, one hundred twenty-eight".