10205209454244 has 48 divisors (see below), whose sum is σ = 27468227340288. Its totient is φ = 2888523901728.

The previous prime is 10205209454243. The next prime is 10205209454249. The reversal of 10205209454244 is 44245490250201.

It is a happy number.

It is a super-2 number, since 2×10205209454244² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10205209454196 and 10205209454205.

It is not an unprimeable number, because it can be changed into a prime (10205209454243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567704044 + ... + 567722019.

It is an arithmetic number, because the mean of its divisors is an integer number (572254736256).

Almost surely, 2^{10205209454244} is an apocalyptic number.

10205209454244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10205209454244 is an abundant number, since it is smaller than the sum of its proper divisors (17263017886044).

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

10205209454244 is a wasteful number, since it uses less digits than its factorization.

10205209454244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135426184 (or 1135426182 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 10205209454244 in words is "ten trillion, two hundred five billion, two hundred nine million, four hundred fifty-four thousand, two hundred forty-four".