10235415040 has 40 divisors (see below), whose sum is σ = 24541012980. Its totient is φ = 4094164992.

The previous prime is 10235415037. The next prime is 10235415041. The reversal of 10235415040 is 4051453201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8378839296 + 1856575744 = 91536^2 + 43088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10235414996 and 10235415014.

It is not an unprimeable number, because it can be changed into a prime (10235415041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1996545 + ... + 2001664.

Almost surely, 2^10235415040 is an apocalyptic number.

10235415040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10235415040 is an abundant number, since it is smaller than the sum of its proper divisors (14305597940).

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

10235415040 is an frugal number, since it uses more digits than its factorization.

10235415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998232 (or 3998216 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 10235415040 its reverse (4051453201), we get a palindrome (14286868241).

The spelling of 10235415040 in words is "ten billion, two hundred thirty-five million, four hundred fifteen thousand, forty".