412322202240 has 256 divisors, whose sum is σ = 1436506081920. Its totient is φ = 99979444224.

The previous prime is 412322202209. The next prime is 412322202251. The reversal of 412322202240 is 42202223214.

It is a super-2 number, since 2×412322202240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 412322202240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1549042 + ... + 1795598.

Almost surely, 2^412322202240 is an apocalyptic number.

412322202240 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 412322202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718253040960).

412322202240 is an abundant number, since it is smaller than the sum of its proper divisors (1024183879680).

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

412322202240 is a wasteful number, since it uses less digits than its factorization.

412322202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246659 (or 246647 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 412322202240 its reverse (42202223214), we get a palindrome (454524425454).

The spelling of 412322202240 in words is "four hundred twelve billion, three hundred twenty-two million, two hundred two thousand, two hundred forty".