200400334848 has 624 divisors, whose sum is σ = 701254444800. Its totient is φ = 57159696384.

The previous prime is 200400334793. The next prime is 200400334853. The reversal of 200400334848 is 848433004002.

200400334848 is a `hidden beast` number, since 200 + 40 + 0 + 334 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341397211 + ... + 341397797.

It is an arithmetic number, because the mean of its divisors is an integer number (1123805200).

Almost surely, 2^200400334848 is an apocalyptic number.

200400334848 is a gapful number since it is divisible by the number (28) 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 200400334848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350627222400).

200400334848 is an abundant number, since it is smaller than the sum of its proper divisors (500854109952).

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

200400334848 is an frugal number, since it uses more digits than its factorization.

200400334848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 200400334848 in words is "two hundred billion, four hundred million, three hundred thirty-four thousand, eight hundred forty-eight".