1408448640 has 128 divisors (see below), whose sum is σ = 4753624320. Its totient is φ = 353484800.

The previous prime is 1408448621. The next prime is 1408448651. The reversal of 1408448640 is 468448041.

It is a tau number, because it is divible by the number of its divisors (128).

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, 11065 + ... + 54215.

It is an arithmetic number, because the mean of its divisors is an integer number (37137690).

Almost surely, 2^1408448640 is an apocalyptic number.

1408448640 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 1408448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376812160).

1408448640 is an abundant number, since it is smaller than the sum of its proper divisors (3345175680).

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

1408448640 is a wasteful number, since it uses less digits than its factorization.

1408448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43190 (or 43178 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 1408448640 is about 37529.3037505361. The cubic root of 1408448640 is about 1120.9347638369.

The spelling of 1408448640 in words is "one billion, four hundred eight million, four hundred forty-eight thousand, six hundred forty".