1440828480 has 224 divisors, whose sum is σ = 5630655744. Its totient is φ = 303980544.

The previous prime is 1440828461. The next prime is 1440828497. The reversal of 1440828480 is 848280441.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1440828480² = 4151973417558220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79114 + ... + 95606.

It is an arithmetic number, because the mean of its divisors is an integer number (25136856).

Almost surely, 2^1440828480 is an apocalyptic number.

1440828480 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 1440828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815327872).

1440828480 is an abundant number, since it is smaller than the sum of its proper divisors (4189827264).

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

1440828480 is a wasteful number, since it uses less digits than its factorization.

1440828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16533 (or 16523 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 1440828480 is about 37958.2465348440. The cubic root of 1440828480 is about 1129.4597568965.

The spelling of 1440828480 in words is "one billion, four hundred forty million, eight hundred twenty-eight thousand, four hundred eighty".