202342442400441 has 72 divisors (see below), whose sum is σ = 343895661369000. Its totient is φ = 114296778731520.

The previous prime is 202342442400431. The next prime is 202342442400547. The reversal of 202342442400441 is 144004244243202.

202342442400441 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 4 + 244 + 2 + 400 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25842170025 + 202316600230416 = 160755^2 + 14223804^2 .

It is not a de Polignac number, because 202342442400441 - 2¹⁵ = 202342442367673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202342442400396 and 202342442400405.

It is not an unprimeable number, because it can be changed into a prime (202342442400431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158282581 + ... + 159555821.

It is an arithmetic number, because the mean of its divisors is an integer number (4776328630125).

Almost surely, 2^{202342442400441} is an apocalyptic number.

202342442400441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202342442400441 is a deficient number, since it is larger than the sum of its proper divisors (141553218968559).

202342442400441 is a wasteful number, since it uses less digits than its factorization.

202342442400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277399 (or 1277389 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 202342442400441 its reverse (144004244243202), we get a palindrome (346346686643643).

The spelling of 202342442400441 in words is "two hundred two trillion, three hundred forty-two billion, four hundred forty-two million, four hundred thousand, four hundred forty-one".