1440006960 has 320 divisors, whose sum is σ = 5421081600. Its totient is φ = 308883456.

The previous prime is 1440006949. The next prime is 1440006973. The reversal of 1440006960 is 696000441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6288126 + ... + 6288354.

It is an arithmetic number, because the mean of its divisors is an integer number (16940880).

Almost surely, 2^1440006960 is an apocalyptic number.

1440006960 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 1440006960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710540800).

1440006960 is an abundant number, since it is smaller than the sum of its proper divisors (3981074640).

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

1440006960 is a wasteful number, since it uses less digits than its factorization.

1440006960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1440006960 is about 37947.4236279619. The cubic root of 1440006960 is about 1129.2450539906.

The spelling of 1440006960 in words is "one billion, four hundred forty million, six thousand, nine hundred sixty".