45241442021200 has 60 divisors (see below), whose sum is σ = 108713483933500. Its totient is φ = 18093093857280.

The previous prime is 45241442021161. The next prime is 45241442021261. The reversal of 45241442021200 is 212024414254.

It can be written as a sum of positive squares in 6 ways, for example, as 2205795276864 + 43035646744336 = 1485192^2 + 6560156^2 .

It is a super-2 number, since 2×45241442021200² (a number of 28 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 8802825 + ... + 12960424.

Almost surely, 2^{45241442021200} is an apocalyptic number.

45241442021200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45241442021200 is an abundant number, since it is smaller than the sum of its proper divisors (63472041912300).

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

45241442021200 is a wasteful number, since it uses less digits than its factorization.

45241442021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21768464 (or 21768453 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

Adding to 45241442021200 its reverse (212024414254), we get a palindrome (45453466435454).

The spelling of 45241442021200 in words is "forty-five trillion, two hundred forty-one billion, four hundred forty-two million, twenty-one thousand, two hundred".