1045121440 has 96 divisors (see below), whose sum is σ = 2708536320. Its totient is φ = 377932800.

The previous prime is 1045121431. The next prime is 1045121471. The reversal of 1045121440 is 441215401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334606 + ... + 337714.

It is an arithmetic number, because the mean of its divisors is an integer number (28213920).

Almost surely, 2^1045121440 is an apocalyptic number.

1045121440 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 1045121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354268160).

1045121440 is an abundant number, since it is smaller than the sum of its proper divisors (1663414880).

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

1045121440 is a wasteful number, since it uses less digits than its factorization.

1045121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1045121440 is about 32328.3380333725. The cubic root of 1045121440 is about 1014.8197694986.

Adding to 1045121440 its reverse (441215401), we get a palindrome (1486336841).

The spelling of 1045121440 in words is "one billion, forty-five million, one hundred twenty-one thousand, four hundred forty".