412722568440 has 576 divisors, whose sum is σ = 1734605832960. Its totient is φ = 84269445120.

The previous prime is 412722568439. The next prime is 412722568463. The reversal of 412722568440 is 44865227214.

412722568440 is a `hidden beast` number, since 4 + 1 + 27 + 22 + 568 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7079892 + ... + 7137948.

It is an arithmetic number, because the mean of its divisors is an integer number (3011468460).

Almost surely, 2^412722568440 is an apocalyptic number.

412722568440 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 412722568440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867302916480).

412722568440 is an abundant number, since it is smaller than the sum of its proper divisors (1321883264520).

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

412722568440 is a wasteful number, since it uses less digits than its factorization.

412722568440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58132 (or 58118 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 412722568440 in words is "four hundred twelve billion, seven hundred twenty-two million, five hundred sixty-eight thousand, four hundred forty".