1045440000 has 600 divisors, whose sum is σ = 4250483160. Its totient is φ = 253440000.

The previous prime is 1045439981. The next prime is 1045440023. The reversal of 1045440000 is 445401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 95039995 + ... + 95040005.

Almost surely, 2^1045440000 is an apocalyptic number.

1045440000 is a gapful number since it is divisible by the number (10) 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 1045440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125241580).

1045440000 is an abundant number, since it is smaller than the sum of its proper divisors (3205043160).

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

1045440000 is an frugal number, since it uses more digits than its factorization.

1045440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1045440000 is about 32333.2646047380. The cubic root of 1045440000 is about 1014.9228669738.

Adding to 1045440000 its reverse (445401), we get a palindrome (1045885401).

The spelling of 1045440000 in words is "one billion, forty-five million, four hundred forty thousand".