200413392480 has 768 divisors, whose sum is σ = 841405501440. Its totient is φ = 43560861696.

The previous prime is 200413392469. The next prime is 200413392497. The reversal of 200413392480 is 84293314002.

200413392480 is a `hidden beast` number, since 20 + 0 + 41 + 33 + 92 + 480 = 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 127 ways as a sum of consecutive naturals, for example, 134234614 + ... + 134236106.

It is an arithmetic number, because the mean of its divisors is an integer number (1095580080).

Almost surely, 2^200413392480 is an apocalyptic number.

200413392480 is a gapful number since it is divisible by the number (20) 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 200413392480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420702750720).

200413392480 is an abundant number, since it is smaller than the sum of its proper divisors (640992108960).

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

200413392480 is a wasteful number, since it uses less digits than its factorization.

200413392480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 200413392480 in words is "two hundred billion, four hundred thirteen million, three hundred ninety-two thousand, four hundred eighty".