210001040 has 80 divisors (see below), whose sum is σ = 518109696. Its totient is φ = 78988800.

The previous prime is 210001021. The next prime is 210001069. The reversal of 210001040 is 40100012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 111305 + ... + 113175.

Almost surely, 2^210001040 is an apocalyptic number.

210001040 is a gapful number since it is divisible by the number (20) 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 210001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259054848).

210001040 is an abundant number, since it is smaller than the sum of its proper divisors (308108656).

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

210001040 is a wasteful number, since it uses less digits than its factorization.

210001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 210001040 is about 14491.4126295541. The cubic root of 210001040 is about 594.3931764936.

Adding to 210001040 its reverse (40100012), we get a palindrome (250101052).

The spelling of 210001040 in words is "two hundred ten million, one thousand, forty".