406733380300800 has 3120 divisors, whose sum is σ = 1793424456863424. Its totient is φ = 89181388800000.

The previous prime is 406733380300757. The next prime is 406733380300873. The reversal of 406733380300800 is 8003083337604.

406733380300800 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 3 + 338 + 0 + 300 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 145210059400 + ... + 145210062200.

Almost surely, 2^{406733380300800} is an apocalyptic number.

406733380300800 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 406733380300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896712228431712).

406733380300800 is an abundant number, since it is smaller than the sum of its proper divisors (1386691076562624).

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

406733380300800 is a wasteful number, since it uses less digits than its factorization.

406733380300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 406733380300800 in words is "four hundred six trillion, seven hundred thirty-three billion, three hundred eighty million, three hundred thousand, eight hundred".