412016040 has 96 divisors (see below), whose sum is σ = 1382284800. Its totient is φ = 106323840.

The previous prime is 412016039. The next prime is 412016051. The reversal of 412016040 is 40610214.

412016040 is a `hidden beast` number, since 41 + 20 + 1 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7300 + ... + 29619.

It is an arithmetic number, because the mean of its divisors is an integer number (14398800).

Almost surely, 2^412016040 is an apocalyptic number.

412016040 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 412016040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691142400).

412016040 is an abundant number, since it is smaller than the sum of its proper divisors (970268760).

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

412016040 is a wasteful number, since it uses less digits than its factorization.

412016040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36967 (or 36960 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 412016040 is about 20298.1782433794. The cubic root of 412016040 is about 744.1115424162. Note that the first 3 decimals are identical.

Adding to 412016040 its reverse (40610214), we get a palindrome (452626254).

The spelling of 412016040 in words is "four hundred twelve million, sixteen thousand, forty".