406734444336 has 320 divisors, whose sum is σ = 1185953094144. Its totient is φ = 119075020800.

The previous prime is 406734444301. The next prime is 406734444349. The reversal of 406734444336 is 633444437604.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 622870186 + ... + 622870838.

Almost surely, 2^406734444336 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 406734444336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592976547072).

406734444336 is an abundant number, since it is smaller than the sum of its proper divisors (779218649808).

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

406734444336 is a wasteful number, since it uses less digits than its factorization.

406734444336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 48.

It can be divided in two parts, 40 and 6734444336, that added together give a palindrome (6734444376).

The spelling of 406734444336 in words is "four hundred six billion, seven hundred thirty-four million, four hundred forty-four thousand, three hundred thirty-six".