45204312240 has 120 divisors (see below), whose sum is σ = 158411691360. Its totient is φ = 11530371072.

The previous prime is 45204312227. The next prime is 45204312259. The reversal of 45204312240 is 4221340254.

45204312240 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 431 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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, 1348305 + ... + 1381424.

It is an arithmetic number, because the mean of its divisors is an integer number (1320097428).

Almost surely, 2^45204312240 is an apocalyptic number.

45204312240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45204312240 is an abundant number, since it is smaller than the sum of its proper divisors (113207379120).

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

45204312240 is a wasteful number, since it uses less digits than its factorization.

45204312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729771 (or 2729762 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 45204312240 its reverse (4221340254), we get a palindrome (49425652494).

The spelling of 45204312240 in words is "forty-five billion, two hundred four million, three hundred twelve thousand, two hundred forty".