45400237200 has 90 divisors (see below), whose sum is σ = 157551446754. Its totient is φ = 12106728960.

The previous prime is 45400237193. The next prime is 45400237217. The reversal of 45400237200 is 273200454.

45400237200 is a `hidden beast` number, since 4 + 5 + 400 + 237 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 474891264 + 44925345936 = 21792^2 + 211956^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×45400237200² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6301989 + ... + 6309188.

Almost surely, 2^45400237200 is an apocalyptic number.

45400237200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45400237200 is an abundant number, since it is smaller than the sum of its proper divisors (112151209554).

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

45400237200 is a wasteful number, since it uses less digits than its factorization.

45400237200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12611201 (or 12611187 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 45400237200 its reverse (273200454), we get a palindrome (45673437654).

The spelling of 45400237200 in words is "forty-five billion, four hundred million, two hundred thirty-seven thousand, two hundred".