1640029440 has 576 divisors, whose sum is σ = 6576643584. Its totient is φ = 339738624.

The previous prime is 1640029439. The next prime is 1640029451. The reversal of 1640029440 is 449200461.

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 = 1640029398 and 1640029407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16907472 + ... + 16907568.

It is an arithmetic number, because the mean of its divisors is an integer number (11417784).

Almost surely, 2^1640029440 is an apocalyptic number.

1640029440 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 1640029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288321792).

1640029440 is an abundant number, since it is smaller than the sum of its proper divisors (4936614144).

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

1640029440 is a wasteful number, since it uses less digits than its factorization.

1640029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1640029440 is about 40497.2769454935. The cubic root of 1640029440 is about 1179.2807644189.

The spelling of 1640029440 in words is "one billion, six hundred forty million, twenty-nine thousand, four hundred forty".