406411854030 has 768 divisors, whose sum is σ = 1429332480000. Its totient is φ = 81947593728.

The previous prime is 406411853993. The next prime is 406411854083. The reversal of 406411854030 is 30458114604.

406411854030 is a `hidden beast` number, since 4 + 0 + 641 + 1 + 8 + 5 + 4 + 0 + 3 + 0 = 666.

It is a super-3 number, since 3×406411854030³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 359974506 + ... + 359975634.

It is an arithmetic number, because the mean of its divisors is an integer number (1861110000).

Almost surely, 2^406411854030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406411854030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714666240000).

406411854030 is an abundant number, since it is smaller than the sum of its proper divisors (1022920625970).

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

406411854030 is a wasteful number, since it uses less digits than its factorization.

406411854030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 406411854030 its reverse (30458114604), we get a palindrome (436869968634).

The spelling of 406411854030 in words is "four hundred six billion, four hundred eleven million, eight hundred fifty-four thousand, thirty".