409728943312 has 30 divisors (see below), whose sum is σ = 854934461682. Its totient is φ = 189101405376.

The previous prime is 409728943271. The next prime is 409728943331. The reversal of 409728943312 is 213349827904.

It can be written as a sum of positive squares in only one way, i.e., 283658499216 + 126070444096 = 532596^2 + 355064^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 409728943312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9209473 + ... + 9253855.

Almost surely, 2^409728943312 is an apocalyptic number.

It is an amenable number.

409728943312 is an abundant number, since it is smaller than the sum of its proper divisors (445205518370).

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

409728943312 is an frugal number, since it uses more digits than its factorization.

409728943312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88787 (or 44398 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

Multiplying 409728943312 by its sum of digits (52), we get a square (21305905052224 = 4615832²).

409728943312 divided by its sum of digits (52) gives a square (7879402756 = 88766²).

The spelling of 409728943312 in words is "four hundred nine billion, seven hundred twenty-eight million, nine hundred forty-three thousand, three hundred twelve".