407798016000 has 768 divisors, whose sum is σ = 1416892538880. Its totient is φ = 104044953600.

The previous prime is 407798015981. The next prime is 407798016011. The reversal of 407798016000 is 610897704.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 3211007937 + ... + 3211008063.

It is an arithmetic number, because the mean of its divisors is an integer number (1844912160).

Almost surely, 2^407798016000 is an apocalyptic number.

407798016000 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 407798016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708446269440).

407798016000 is an abundant number, since it is smaller than the sum of its proper divisors (1009094522880).

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

407798016000 is a wasteful number, since it uses less digits than its factorization.

407798016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 407798016000 in words is "four hundred seven billion, seven hundred ninety-eight million, sixteen thousand".