1648021440 has 448 divisors, whose sum is σ = 5993197056. Its totient is φ = 380878848.

The previous prime is 1648021439. The next prime is 1648021447. The reversal of 1648021440 is 441208461.

1648021440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1648021398 and 1648021407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1648021447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19855639 + ... + 19855721.

It is an arithmetic number, because the mean of its divisors is an integer number (13377672).

Almost surely, 2^1648021440 is an apocalyptic number.

1648021440 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 1648021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996598528).

1648021440 is an abundant number, since it is smaller than the sum of its proper divisors (4345175616).

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

1648021440 is a wasteful number, since it uses less digits than its factorization.

1648021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1648021440 is about 40595.8303277566. The cubic root of 1648021440 is about 1181.1932390071.

It can be divided in two parts, 1648021 and 440, that added together give a palindrome (1648461).

The spelling of 1648021440 in words is "one billion, six hundred forty-eight million, twenty-one thousand, four hundred forty".