10430708040 has 128 divisors (see below), whose sum is σ = 34794748800. Its totient is φ = 2779464960.

The previous prime is 10430708039. The next prime is 10430708047. The reversal of 10430708040 is 4080703401.

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 = 10430707995 and 10430708013.

It is not an unprimeable number, because it can be changed into a prime (10430708047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1953214 + ... + 1958546.

It is an arithmetic number, because the mean of its divisors is an integer number (271833975).

Almost surely, 2^10430708040 is an apocalyptic number.

10430708040 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 10430708040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17397374400).

10430708040 is an abundant number, since it is smaller than the sum of its proper divisors (24364040760).

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

10430708040 is a wasteful number, since it uses less digits than its factorization.

10430708040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7164 (or 7154 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10430708040 in words is "ten billion, four hundred thirty million, seven hundred eight thousand, forty".