406365372336 has 240 divisors, whose sum is σ = 1337922188928. Its totient is φ = 105094886400.

The previous prime is 406365372323. The next prime is 406365372359. The reversal of 406365372336 is 633273563604.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5994471 + ... + 6061881.

Almost surely, 2^406365372336 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 406365372336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668961094464).

406365372336 is an abundant number, since it is smaller than the sum of its proper divisors (931556816592).

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

406365372336 is a wasteful number, since it uses less digits than its factorization.

406365372336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67680 (or 67667 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 48.

The spelling of 406365372336 in words is "four hundred six billion, three hundred sixty-five million, three hundred seventy-two thousand, three hundred thirty-six".