10220042414240 has 24 divisors (see below), whose sum is σ = 24144850204020. Its totient is φ = 4088016965632.

The previous prime is 10220042414233. The next prime is 10220042414273. The reversal of 10220042414240 is 4241424002201.

It is a happy number.

10220042414240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9875205690256 + 344836723984 = 3142484^2 + 587228^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31937632385 + ... + 31937632704.

Almost surely, 2^{10220042414240} is an apocalyptic number.

10220042414240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220042414240 is an abundant number, since it is smaller than the sum of its proper divisors (13924807789780).

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

10220042414240 is an equidigital number, since it uses as much as digits as its factorization.

10220042414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63875265104 (or 63875265096 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 10220042414240 its reverse (4241424002201), we get a palindrome (14461466416441).

The spelling of 10220042414240 in words is "ten trillion, two hundred twenty billion, forty-two million, four hundred fourteen thousand, two hundred forty".