409745621376 has 288 divisors, whose sum is σ = 1459160791920. Its totient is φ = 108064419840.

The previous prime is 409745621317. The next prime is 409745621429. The reversal of 409745621376 is 673126547904.

409745621376 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 4 + 5 + 621 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1212486 + ... + 1513146.

Almost surely, 2^409745621376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409745621376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729580395960).

409745621376 is an abundant number, since it is smaller than the sum of its proper divisors (1049415170544).

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

409745621376 is a wasteful number, since it uses less digits than its factorization.

409745621376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300714 (or 300686 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 409745621376 in words is "four hundred nine billion, seven hundred forty-five million, six hundred twenty-one thousand, three hundred seventy-six".