10040433210 has 96 divisors (see below), whose sum is σ = 26321871888. Its totient is φ = 2655313920.

The previous prime is 10040433209. The next prime is 10040433211. The reversal of 10040433210 is 1233404001.

It is an interprime number because it is at equal distance from previous prime (10040433209) and next prime (10040433211).

It can be written as a sum of positive squares in 8 ways, for example, as 2828856969 + 7211576241 = 53187^2 + 84921^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10040433211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7312084 + ... + 7313456.

Almost surely, 2^10040433210 is an apocalyptic number.

10040433210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040433210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13160935944).

10040433210 is an abundant number, since it is smaller than the sum of its proper divisors (16281438678).

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

10040433210 is a wasteful number, since it uses less digits than its factorization.

10040433210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10040433210 its reverse (1233404001), we get a palindrome (11273837211).

The spelling of 10040433210 in words is "ten billion, forty million, four hundred thirty-three thousand, two hundred ten".