406089295983360 has 5760 divisors, whose sum is σ = 1801953436631040. Its totient is φ = 86867131760640.

The previous prime is 406089295983281. The next prime is 406089295983391. The reversal of 406089295983360 is 63389592980604.

406089295983360 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 8 + 9 + 29 + 598 + 3 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 3197553511617 + ... + 3197553511743.

It is an arithmetic number, because the mean of its divisors is an integer number (312839138304).

Almost surely, 2^{406089295983360} is an apocalyptic number.

406089295983360 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 406089295983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900976718315520).

406089295983360 is an abundant number, since it is smaller than the sum of its proper divisors (1395864140647680).

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

406089295983360 is a wasteful number, since it uses less digits than its factorization.

406089295983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 406089295983360 in words is "four hundred six trillion, eighty-nine billion, two hundred ninety-five million, nine hundred eighty-three thousand, three hundred sixty".