412024313431040 has 44 divisors (see below), whose sum is σ = 988375511254476. Its totient is φ = 164809725370368.

The previous prime is 412024313430971. The next prime is 412024313431069. The reversal of 412024313431040 is 40134313420214.

It can be written as a sum of positive squares in 2 ways, for example, as 80724905967616 + 331299407463424 = 8984704^2 + 18201632^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 412024313430988 and 412024313431006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40236744239 + ... + 40236754478.

Almost surely, 2^{412024313431040} is an apocalyptic number.

412024313431040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412024313431040 is an abundant number, since it is smaller than the sum of its proper divisors (576351197823436).

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

412024313431040 is an equidigital number, since it uses as much as digits as its factorization.

412024313431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80473498742 (or 80473498724 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 412024313431040 its reverse (40134313420214), we get a palindrome (452158626851254).

The spelling of 412024313431040 in words is "four hundred twelve trillion, twenty-four billion, three hundred thirteen million, four hundred thirty-one thousand, forty".