412776720360 has 128 divisors (see below), whose sum is σ = 1376338521600. Its totient is φ = 110040503040.

The previous prime is 412776720347. The next prime is 412776720397. The reversal of 412776720360 is 63027677214.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3623470 + ... + 3735650.

It is an arithmetic number, because the mean of its divisors is an integer number (10752644700).

Almost surely, 2^412776720360 is an apocalyptic number.

412776720360 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 412776720360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688169260800).

412776720360 is an abundant number, since it is smaller than the sum of its proper divisors (963561801240).

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

412776720360 is a wasteful number, since it uses less digits than its factorization.

412776720360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115608 (or 115598 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 412776720360 in words is "four hundred twelve billion, seven hundred seventy-six million, seven hundred twenty thousand, three hundred sixty".