10024413440 has 144 divisors (see below), whose sum is σ = 24399277056. Its totient is φ = 3945676800.

The previous prime is 10024413439. The next prime is 10024413479. The reversal of 10024413440 is 4431442001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32026724 + ... + 32027036.

It is an arithmetic number, because the mean of its divisors is an integer number (169439424).

Almost surely, 2^10024413440 is an apocalyptic number.

10024413440 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 10024413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12199638528).

10024413440 is an abundant number, since it is smaller than the sum of its proper divisors (14374863616).

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

10024413440 is a wasteful number, since it uses less digits than its factorization.

10024413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10024413440 its reverse (4431442001), we get a palindrome (14455855441).

The spelling of 10024413440 in words is "ten billion, twenty-four million, four hundred thirteen thousand, four hundred forty".