45731240755200 has 6480 divisors, whose sum is σ = 241829557167744. Its totient is φ = 8255648563200.

The previous prime is 45731240755199. The next prime is 45731240755231. The reversal of 45731240755200 is 255704213754.

45731240755200 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 12 + 40 + 75 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2690072985592 + ... + 2690072985608.

Almost surely, 2^{45731240755200} is an apocalyptic number.

45731240755200 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 45731240755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120914778583872).

45731240755200 is an abundant number, since it is smaller than the sum of its proper divisors (196098316412544).

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

45731240755200 is an equidigital number, since it uses as much as digits as its factorization.

45731240755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

Adding to 45731240755200 its reverse (255704213754), we get a palindrome (45986944968954).

The spelling of 45731240755200 in words is "forty-five trillion, seven hundred thirty-one billion, two hundred forty million, seven hundred fifty-five thousand, two hundred".