10040430240 has 288 divisors, whose sum is σ = 35106598800. Its totient is φ = 2612133888.

The previous prime is 10040430227. The next prime is 10040430259. The reversal of 10040430240 is 4203404001.

It can be written as a sum of positive squares in 8 ways, for example, as 8442669456 + 1597760784 = 91884^2 + 39972^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22361536 + ... + 22361984.

Almost surely, 2^10040430240 is an apocalyptic number.

10040430240 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 10040430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17553299400).

10040430240 is an abundant number, since it is smaller than the sum of its proper divisors (25066168560).

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

10040430240 is a wasteful number, since it uses less digits than its factorization.

10040430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10040430240 its reverse (4203404001), we get a palindrome (14243834241).

The spelling of 10040430240 in words is "ten billion, forty million, four hundred thirty thousand, two hundred forty".