45439744000 has 192 divisors, whose sum is σ = 129593580480. Its totient is φ = 15578726400.

The previous prime is 45439743959. The next prime is 45439744001. The reversal of 45439744000 is 44793454.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45439744001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1779322 + ... + 1804678.

It is an arithmetic number, because the mean of its divisors is an integer number (674966565).

Almost surely, 2^45439744000 is an apocalyptic number.

45439744000 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 45439744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64796790240).

45439744000 is an abundant number, since it is smaller than the sum of its proper divisors (84153836480).

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

45439744000 is an equidigital number, since it uses as much as digits as its factorization.

45439744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25401 (or 25371 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 45439744000 in words is "forty-five billion, four hundred thirty-nine million, seven hundred forty-four thousand".