409656321936 has 225 divisors, whose sum is σ = 1241061707809. Its totient is φ = 130446087552.

The previous prime is 409656321923. The next prime is 409656321937. The reversal of 409656321936 is 639123656904.

The square root of 409656321936 is 640044.

It is a perfect power (a square), and thus also a powerful number.

409656321936 is a `hidden beast` number, since 40 + 9 + 6 + 563 + 2 + 1 + 9 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26069331600 + 383586990336 = 161460^2 + 619344^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409656321937) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 529956046 + ... + 529956818.

Almost surely, 2^409656321936 is an apocalyptic number.

409656321936 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

409656321936 is the 640044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409656321936

409656321936 is an abundant number, since it is smaller than the sum of its proper divisors (831405385873).

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

409656321936 is an frugal number, since it uses more digits than its factorization.

409656321936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 409656321936 in words is "four hundred nine billion, six hundred fifty-six million, three hundred twenty-one thousand, nine hundred thirty-six".