412320040 has 128 divisors (see below), whose sum is σ = 1080864000. Its totient is φ = 139898880.

The previous prime is 412320037. The next prime is 412320047. The reversal of 412320040 is 40023214.

It is a junction number, because it is equal to n+sod(n) for n = 412319996 and 412320023.

It is not an unprimeable number, because it can be changed into a prime (412320047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1488382 + ... + 1488658.

It is an arithmetic number, because the mean of its divisors is an integer number (8444250).

Almost surely, 2^412320040 is an apocalyptic number.

412320040 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 412320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540432000).

412320040 is an abundant number, since it is smaller than the sum of its proper divisors (668543960).

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

412320040 is a wasteful number, since it uses less digits than its factorization.

412320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 412320040 is about 20305.6652193421. The cubic root of 412320040 is about 744.2945080248.

Adding to 412320040 its reverse (40023214), we get a palindrome (452343254).

The spelling of 412320040 in words is "four hundred twelve million, three hundred twenty thousand, forty".