223200041040 has 120 divisors (see below), whose sum is σ = 767862681768. Its totient is φ = 58068295680.

The previous prime is 223200041027. The next prime is 223200041123. The reversal of 223200041040 is 40140002322.

223200041040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2228595264 + 220971445776 = 47208^2 + 470076^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×223200041040³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3750969 + ... + 3810008.

Almost surely, 2^223200041040 is an apocalyptic number.

223200041040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223200041040 is an abundant number, since it is smaller than the sum of its proper divisors (544662640728).

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

223200041040 is a wasteful number, since it uses less digits than its factorization.

223200041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7561037 (or 7561028 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 223200041040 its reverse (40140002322), we get a palindrome (263340043362).

The spelling of 223200041040 in words is "two hundred twenty-three billion, two hundred million, forty-one thousand, forty".