10210709040 has 160 divisors (see below), whose sum is σ = 36217491456. Its totient is φ = 2331141120.

The previous prime is 10210709039. The next prime is 10210709111. The reversal of 10210709040 is 4090701201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10210709040.

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 31 ways as a sum of consecutive naturals, for example, 1661814 + ... + 1667946.

Almost surely, 2^10210709040 is an apocalyptic number.

10210709040 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 10210709040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18108745728).

10210709040 is an abundant number, since it is smaller than the sum of its proper divisors (26006782416).

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

10210709040 is a wasteful number, since it uses less digits than its factorization.

10210709040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7147 (or 7141 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 10210709040 in words is "ten billion, two hundred ten million, seven hundred nine thousand, forty".