10415323440 has 200 divisors, whose sum is σ = 36240961680. Its totient is φ = 2772278784.

The previous prime is 10415323421. The next prime is 10415323441. The reversal of 10415323440 is 4432351401.

It is a happy number.

10415323440 is a `hidden beast` number, since 10 + 415 + 3 + 234 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10415323441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4593187 + ... + 4595453.

Almost surely, 2^10415323440 is an apocalyptic number.

10415323440 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 10415323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18120480840).

10415323440 is an abundant number, since it is smaller than the sum of its proper divisors (25825638240).

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

10415323440 is a wasteful number, since it uses less digits than its factorization.

10415323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10415323440 its reverse (4432351401), we get a palindrome (14847674841).

The spelling of 10415323440 in words is "ten billion, four hundred fifteen million, three hundred twenty-three thousand, four hundred forty".