45040344000 has 448 divisors, whose sum is σ = 159176264832. Its totient is φ = 11182080000.

The previous prime is 45040343981. The next prime is 45040344007. The reversal of 45040344000 is 44304054.

45040344000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45040344007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41207454 + ... + 41208546.

Almost surely, 2^45040344000 is an apocalyptic number.

45040344000 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 45040344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79588132416).

45040344000 is an abundant number, since it is smaller than the sum of its proper divisors (114135920832).

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

45040344000 is a wasteful number, since it uses less digits than its factorization.

45040344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 45040344000 its reverse (44304054), we get a palindrome (45084648054).

The spelling of 45040344000 in words is "forty-five billion, forty million, three hundred forty-four thousand".