1440164880 has 480 divisors, whose sum is σ = 6300132480. Its totient is φ = 299013120.

The previous prime is 1440164851. The next prime is 1440164899. The reversal of 1440164880 is 884610441.

1440164880 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 1 + 648 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1163622 + ... + 1164858.

It is an arithmetic number, because the mean of its divisors is an integer number (13125276).

Almost surely, 2^1440164880 is an apocalyptic number.

1440164880 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 1440164880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150066240).

1440164880 is an abundant number, since it is smaller than the sum of its proper divisors (4859967600).

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

1440164880 is a wasteful number, since it uses less digits than its factorization.

1440164880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1440164880 is about 37949.5043445893. The cubic root of 1440164880 is about 1129.2863324625.

The spelling of 1440164880 in words is "one billion, four hundred forty million, one hundred sixty-four thousand, eight hundred eighty".