10140224655420 has 144 divisors (see below), whose sum is σ = 32572886542560. Its totient is φ = 2544616931328.

The previous prime is 10140224655413. The next prime is 10140224655461. The reversal of 10140224655420 is 2455642204101.

10140224655420 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 224 + 6 + 5 + 5 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 20499324 + ... + 20988156.

It is an arithmetic number, because the mean of its divisors is an integer number (226200600990).

Almost surely, 2^{10140224655420} is an apocalyptic number.

10140224655420 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 10140224655420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286443271280).

10140224655420 is an abundant number, since it is smaller than the sum of its proper divisors (22432661887140).

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

10140224655420 is a wasteful number, since it uses less digits than its factorization.

10140224655420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495644 (or 495639 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 10140224655420 its reverse (2455642204101), we get a palindrome (12595866859521).

The spelling of 10140224655420 in words is "ten trillion, one hundred forty billion, two hundred twenty-four million, six hundred fifty-five thousand, four hundred twenty".