10024142040 has 320 divisors, whose sum is σ = 37041507360. Its totient is φ = 2411182080.

The previous prime is 10024142033. The next prime is 10024142041. The reversal of 10024142040 is 4024142001.

10024142040 is a `hidden beast` number, since 1 + 0 + 0 + 241 + 420 + 4 + 0 = 666.

It is a super-5 number, since 5×10024142040⁵ (a number of 51 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024142041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4881654 + ... + 4883706.

Almost surely, 2^10024142040 is an apocalyptic number.

10024142040 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 10024142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18520753680).

10024142040 is an abundant number, since it is smaller than the sum of its proper divisors (27017365320).

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

10024142040 is a wasteful number, since it uses less digits than its factorization.

10024142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2211 counting only the distinct ones).

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

Adding to 10024142040 its reverse (4024142001), we get a palindrome (14048284041).

The spelling of 10024142040 in words is "ten billion, twenty-four million, one hundred forty-two thousand, forty".