406305334016010 has 768 divisors, whose sum is σ = 1275671160691200. Its totient is φ = 88427527372800.

The previous prime is 406305334015991. The next prime is 406305334016107. The reversal of 406305334016010 is 10610433503604.

406305334016010 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 0 + 5 + 3 + 3 + 40 + 1 + 601 + 0 = 666.

It is a super-2 number, since 2×406305334016010² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31690605400 + ... + 31690618220.

It is an arithmetic number, because the mean of its divisors is an integer number (1661030157150).

Almost surely, 2^{406305334016010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406305334016010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637835580345600).

406305334016010 is an abundant number, since it is smaller than the sum of its proper divisors (869365826675190).

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

406305334016010 is a wasteful number, since it uses less digits than its factorization.

406305334016010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13399 (or 13396 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 406305334016010 its reverse (10610433503604), we get a palindrome (416915767519614).

The spelling of 406305334016010 in words is "four hundred six trillion, three hundred five billion, three hundred thirty-four million, sixteen thousand, ten".