412314432040 has 128 divisors (see below), whose sum is σ = 1122876172800. Its totient is φ = 133017108480.

The previous prime is 412314432011. The next prime is 412314432043. The reversal of 412314432040 is 40234413214.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (412314432043) 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, 26833960 + ... + 26849320.

It is an arithmetic number, because the mean of its divisors is an integer number (8772470100).

Almost surely, 2^412314432040 is an apocalyptic number.

412314432040 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 412314432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561438086400).

412314432040 is an abundant number, since it is smaller than the sum of its proper divisors (710561740760).

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

412314432040 is a wasteful number, since it uses less digits than its factorization.

412314432040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21035 (or 21031 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 412314432040 its reverse (40234413214), we get a palindrome (452548845254).

The spelling of 412314432040 in words is "four hundred twelve billion, three hundred fourteen million, four hundred thirty-two thousand, forty".