10040142420 has 288 divisors, whose sum is σ = 38145219840. Its totient is φ = 2076641280.

The previous prime is 10040142383. The next prime is 10040142467. The reversal of 10040142420 is 2424104001.

10040142420 is a `hidden beast` number, since 100 + 4 + 0 + 142 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10040142393 and 10040142402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3227826 + ... + 3230934.

It is an arithmetic number, because the mean of its divisors is an integer number (132448680).

Almost surely, 2^10040142420 is an apocalyptic number.

10040142420 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 10040142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19072609920).

10040142420 is an abundant number, since it is smaller than the sum of its proper divisors (28105077420).

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

10040142420 is a wasteful number, since it uses less digits than its factorization.

10040142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3370 counting only the distinct ones).

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

Adding to 10040142420 its reverse (2424104001), we get a palindrome (12464246421).

The spelling of 10040142420 in words is "ten billion, forty million, one hundred forty-two thousand, four hundred twenty".