41390496 has 144 divisors (see below), whose sum is σ = 137592000. Its totient is φ = 11797632.

The previous prime is 41390491. The next prime is 41390497. The reversal of 41390496 is 69409314.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 41390496.

It is not an unprimeable number, because it can be changed into a prime (41390491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98575 + ... + 98993.

It is an arithmetic number, because the mean of its divisors is an integer number (955500).

Almost surely, 2^41390496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41390496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796000).

41390496 is an abundant number, since it is smaller than the sum of its proper divisors (96201504).

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

41390496 is a wasteful number, since it uses less digits than its factorization.

41390496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 41390496 is about 6433.5445906592. The cubic root of 41390496 is about 345.9129944843.

It can be divided in two parts, 413 and 90496, that added together give a palindrome (90909).

The spelling of 41390496 in words is "forty-one million, three hundred ninety thousand, four hundred ninety-six".