406018742416 has 75 divisors (see below), whose sum is σ = 917999300243. Its totient is φ = 173954508000.

The previous prime is 406018742411. The next prime is 406018742471. The reversal of 406018742416 is 614247810604.

It is a happy number.

The square root of 406018742416 is 637196.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406018742411) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 124888791 + ... + 124892041.

Almost surely, 2^406018742416 is an apocalyptic number.

406018742416 is the 637196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406018742416

406018742416 is an abundant number, since it is smaller than the sum of its proper divisors (511980557827).

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

406018742416 is an frugal number, since it uses more digits than its factorization.

406018742416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6538 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 406018742416 in words is "four hundred six billion, eighteen million, seven hundred forty-two thousand, four hundred sixteen".