45260240533200 has 1440 divisors, whose sum is σ = 206642295475200. Its totient is φ = 8887532544000.

The previous prime is 45260240533187. The next prime is 45260240533231. The reversal of 45260240533200 is 233504206254.

45260240533200 is a `hidden beast` number, since 4 + 5 + 2 + 60 + 2 + 40 + 533 + 20 + 0 = 666.

45260240533200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 2154110695 + ... + 2154131705.

It is an arithmetic number, because the mean of its divisors is an integer number (143501594080).

Almost surely, 2^{45260240533200} is an apocalyptic number.

45260240533200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45260240533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103321147737600).

45260240533200 is an abundant number, since it is smaller than the sum of its proper divisors (161382054942000).

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

45260240533200 is a wasteful number, since it uses less digits than its factorization.

45260240533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21481 (or 21467 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 45260240533200 its reverse (233504206254), we get a palindrome (45493744739454).

The spelling of 45260240533200 in words is "forty-five trillion, two hundred sixty billion, two hundred forty million, five hundred thirty-three thousand, two hundred".