406849115692800 has 2160 divisors, whose sum is σ = 1660718532211200. Its totient is φ = 97455749529600.

The previous prime is 406849115692771. The next prime is 406849115692841. The reversal of 406849115692800 is 8296511948604.

406849115692800 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 49 + 1 + 1 + 569 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 186713682111 + ... + 186713684289.

It is an arithmetic number, because the mean of its divisors is an integer number (768851172320).

Almost surely, 2^{406849115692800} is an apocalyptic number.

406849115692800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406849115692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830359266105600).

406849115692800 is an abundant number, since it is smaller than the sum of its proper divisors (1253869416518400).

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

406849115692800 is a wasteful number, since it uses less digits than its factorization.

406849115692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 406849115692800 in words is "four hundred six trillion, eight hundred forty-nine billion, one hundred fifteen million, six hundred ninety-two thousand, eight hundred".