1797143040 has 480 divisors, whose sum is σ = 7767467136. Its totient is φ = 373063680.

The previous prime is 1797143039. The next prime is 1797143071. The reversal of 1797143040 is 403417971.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1797142986 and 1797143004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1773574 + ... + 1774586.

Almost surely, 2^1797143040 is an apocalyptic number.

1797143040 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 1797143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883733568).

1797143040 is an abundant number, since it is smaller than the sum of its proper divisors (5970324096).

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

1797143040 is a wasteful number, since it uses less digits than its factorization.

1797143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1797143040 is about 42392.7239039909. The cubic root of 1797143040 is about 1215.7964802513.

The spelling of 1797143040 in words is "one billion, seven hundred ninety-seven million, one hundred forty-three thousand, forty".