412728449920 has 64 divisors (see below), whose sum is σ = 990807681600. Its totient is φ = 164400560128.

The previous prime is 412728449911. The next prime is 412728449929. The reversal of 412728449920 is 29944827214.

It is an interprime number because it is at equal distance from previous prime (412728449911) and next prime (412728449929).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412728449929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1196179 + ... + 1502098.

It is an arithmetic number, because the mean of its divisors is an integer number (15481370025).

Almost surely, 2^412728449920 is an apocalyptic number.

412728449920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412728449920 is an abundant number, since it is smaller than the sum of its proper divisors (578079231680).

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

412728449920 is a wasteful number, since it uses less digits than its factorization.

412728449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698535 (or 2698523 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 412728449920 in words is "four hundred twelve billion, seven hundred twenty-eight million, four hundred forty-nine thousand, nine hundred twenty".