1643045040 has 480 divisors, whose sum is σ = 7014551040. Its totient is φ = 346125312.

The previous prime is 1643045023. The next prime is 1643045059. The reversal of 1643045040 is 405403461.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1643044995 and 1643045013.

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, 2554959 + ... + 2555601.

It is an arithmetic number, because the mean of its divisors is an integer number (14613648).

Almost surely, 2^1643045040 is an apocalyptic number.

1643045040 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 1643045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507275520).

1643045040 is an abundant number, since it is smaller than the sum of its proper divisors (5371506000).

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

1643045040 is a wasteful number, since it uses less digits than its factorization.

1643045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1643045040 is about 40534.4919790541. The cubic root of 1643045040 is about 1180.0031217001.

The spelling of 1643045040 in words is "one billion, six hundred forty-three million, forty-five thousand, forty".