406240731744 has 192 divisors, whose sum is σ = 1139499518976. Its totient is φ = 126280433664.

The previous prime is 406240731739. The next prime is 406240731781. The reversal of 406240731744 is 447137042604.

It is a junction number, because it is equal to n+sod(n) for n = 406240731696 and 406240731705.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 91845117 + ... + 91849539.

It is an arithmetic number, because the mean of its divisors is an integer number (5934893328).

Almost surely, 2^406240731744 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 406240731744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569749759488).

406240731744 is an abundant number, since it is smaller than the sum of its proper divisors (733258787232).

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

406240731744 is a wasteful number, since it uses less digits than its factorization.

406240731744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 406240731744 in words is "four hundred six billion, two hundred forty million, seven hundred thirty-one thousand, seven hundred forty-four".