412651602720 has 432 divisors, whose sum is σ = 1654012301760. Its totient is φ = 93402989568.

The previous prime is 412651602709. The next prime is 412651602773. The reversal of 412651602720 is 27206156214.

It is a happy number.

412651602720 is a `hidden beast` number, since 4 + 1 + 26 + 5 + 1 + 602 + 7 + 20 = 666.

It is a super-2 number, since 2×412651602720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7239291 + ... + 7296069.

It is an arithmetic number, because the mean of its divisors is an integer number (3828732180).

Almost surely, 2^412651602720 is an apocalyptic number.

412651602720 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 412651602720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827006150880).

412651602720 is an abundant number, since it is smaller than the sum of its proper divisors (1241360699040).

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

412651602720 is a wasteful number, since it uses less digits than its factorization.

412651602720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56917 (or 56899 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 412651602720 its reverse (27206156214), we get a palindrome (439857758934).

The spelling of 412651602720 in words is "four hundred twelve billion, six hundred fifty-one million, six hundred two thousand, seven hundred twenty".