45240115200 has 672 divisors, whose sum is σ = 174610800384. Its totient is φ = 10121379840.

The previous prime is 45240115183. The next prime is 45240115211. The reversal of 45240115200 is 251104254.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288153522 + ... + 288153678.

Almost surely, 2^45240115200 is an apocalyptic number.

45240115200 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 45240115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87305400192).

45240115200 is an abundant number, since it is smaller than the sum of its proper divisors (129370685184).

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

45240115200 is a wasteful number, since it uses less digits than its factorization.

45240115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 45240115200 its reverse (251104254), we get a palindrome (45491219454).

The spelling of 45240115200 in words is "forty-five billion, two hundred forty million, one hundred fifteen thousand, two hundred".