10024041240 has 192 divisors, whose sum is σ = 34059018240. Its totient is φ = 2552014080.

The previous prime is 10024041227. The next prime is 10024041259. The reversal of 10024041240 is 4214042001.

10024041240 is a `hidden beast` number, since 10 + 0 + 240 + 412 + 4 + 0 = 666.

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

It is a congruent number.

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, 6813705 + ... + 6815175.

It is an arithmetic number, because the mean of its divisors is an integer number (177390720).

Almost surely, 2^10024041240 is an apocalyptic number.

10024041240 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 10024041240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17029509120).

10024041240 is an abundant number, since it is smaller than the sum of its proper divisors (24034977000).

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

10024041240 is a wasteful number, since it uses less digits than its factorization.

10024041240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10024041240 its reverse (4214042001), we get a palindrome (14238083241).

The spelling of 10024041240 in words is "ten billion, twenty-four million, forty-one thousand, two hundred forty".