405195378336 has 576 divisors, whose sum is σ = 1445239111680. Its totient is φ = 105076776960.

The previous prime is 405195378239. The next prime is 405195378347. The reversal of 405195378336 is 633873591504.

405195378336 is a `hidden beast` number, since 4 + 0 + 519 + 53 + 78 + 3 + 3 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122303016 + ... + 122306328.

It is an arithmetic number, because the mean of its divisors is an integer number (2509095680).

Almost surely, 2^405195378336 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 405195378336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722619555840).

405195378336 is an abundant number, since it is smaller than the sum of its proper divisors (1040043733344).

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

405195378336 is a wasteful number, since it uses less digits than its factorization.

405195378336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 405195378336 in words is "four hundred five billion, one hundred ninety-five million, three hundred seventy-eight thousand, three hundred thirty-six".