45400251200 has 168 divisors, whose sum is σ = 114725912280. Its totient is φ = 17672601600.

The previous prime is 45400251167. The next prime is 45400251203. The reversal of 45400251200 is 215200454.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 44450132224 + 950118976 = 210832^2 + 30824^2 .

It is a super-2 number, since 2×45400251200² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45400251203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40212236 + ... + 40213364.

It is an arithmetic number, because the mean of its divisors is an integer number (682892335).

Almost surely, 2^45400251200 is an apocalyptic number.

45400251200 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 45400251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57362956140).

45400251200 is an abundant number, since it is smaller than the sum of its proper divisors (69325661080).

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

45400251200 is a wasteful number, since it uses less digits than its factorization.

45400251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 45400251200 its reverse (215200454), we get a palindrome (45615451654).

The spelling of 45400251200 in words is "forty-five billion, four hundred million, two hundred fifty-one thousand, two hundred".