200441460113040 has 80 divisors (see below), whose sum is σ = 624801501769536. Its totient is φ = 53155746316800.

The previous prime is 200441460113029. The next prime is 200441460113047. The reversal of 200441460113040 is 40311064144002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 200441460112989 and 200441460113007.

It is not an unprimeable number, because it can be changed into a prime (200441460113047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2307063606 + ... + 2307150485.

Almost surely, 2^{200441460113040} is an apocalyptic number.

200441460113040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200441460113040 is an abundant number, since it is smaller than the sum of its proper divisors (424360041656496).

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

200441460113040 is a wasteful number, since it uses less digits than its factorization.

200441460113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614214288 (or 4614214282 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 200441460113040 in words is "two hundred trillion, four hundred forty-one billion, four hundred sixty million, one hundred thirteen thousand, forty".