10024420140 has 384 divisors, whose sum is σ = 38820096000. Its totient is φ = 2095414272.

The previous prime is 10024420103. The next prime is 10024420157. The reversal of 10024420140 is 4102442001.

10024420140 is a `hidden beast` number, since 100 + 2 + 4 + 420 + 140 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2080374 + ... + 2085186.

It is an arithmetic number, because the mean of its divisors is an integer number (101094000).

Almost surely, 2^10024420140 is an apocalyptic number.

10024420140 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 10024420140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19410048000).

10024420140 is an abundant number, since it is smaller than the sum of its proper divisors (28795675860).

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

10024420140 is a wasteful number, since it uses less digits than its factorization.

10024420140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4886 (or 4878 counting only the distinct ones).

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

Adding to 10024420140 its reverse (4102442001), we get a palindrome (14126862141).

The spelling of 10024420140 in words is "ten billion, twenty-four million, four hundred twenty thousand, one hundred forty".