10434040040 has 32 divisors (see below), whose sum is σ = 23919549480. Its totient is φ = 4094867712.

The previous prime is 10434040033. The next prime is 10434040049. The reversal of 10434040040 is 4004043401.

It can be written as a sum of positive squares in 4 ways, for example, as 10141698436 + 292341604 = 100706^2 + 17098^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10434039994 and 10434040021.

It is not an unprimeable number, because it can be changed into a prime (10434040049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2458739 + ... + 2462978.

Almost surely, 2^10434040040 is an apocalyptic number.

10434040040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434040040 is an abundant number, since it is smaller than the sum of its proper divisors (13485509440).

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

10434040040 is a wasteful number, since it uses less digits than its factorization.

10434040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921781 (or 4921777 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10434040040 its reverse (4004043401), we get a palindrome (14438083441).

The spelling of 10434040040 in words is "ten billion, four hundred thirty-four million, forty thousand, forty".