40410000 has 150 divisors (see below), whose sum is σ = 141634350. Its totient is φ = 10752000.

The previous prime is 40409983. The next prime is 40410023. The reversal of 40410000 is 1404.

It can be written as a sum of positive squares in 5 ways, for example, as 13660416 + 26749584 = 3696^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89776 + ... + 90224.

It is an arithmetic number, because the mean of its divisors is an integer number (944229).

Almost surely, 2^40410000 is an apocalyptic number.

40410000 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 40410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70817175).

40410000 is an abundant number, since it is smaller than the sum of its proper divisors (101224350).

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

40410000 is a wasteful number, since it uses less digits than its factorization.

40410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 40410000 is about 6356.8860301251. The cubic root of 40410000 is about 343.1597031599.

Adding to 40410000 its reverse (1404), we get a palindrome (40411404).

It can be divided in two parts, 404 and 10000, that added together give a square (10404 = 102²).

The spelling of 40410000 in words is "forty million, four hundred ten thousand".