10035420480 has 140 divisors (see below), whose sum is σ = 35697848340. Its totient is φ = 2676105216.

The previous prime is 10035420457. The next prime is 10035420487. The reversal of 10035420480 is 8402453001.

10035420480 is a `hidden beast` number, since 100 + 354 + 204 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4757688576 + 5277731904 = 68976^2 + 72648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10035420487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 167665 + ... + 219504.

It is an arithmetic number, because the mean of its divisors is an integer number (254984631).

Almost surely, 2^10035420480 is an apocalyptic number.

10035420480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10035420480 is an abundant number, since it is smaller than the sum of its proper divisors (25662427860).

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

10035420480 is an equidigital number, since it uses as much as digits as its factorization.

10035420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387198 (or 387179 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10035420480 its reverse (8402453001), we get a palindrome (18437873481).

The spelling of 10035420480 in words is "ten billion, thirty-five million, four hundred twenty thousand, four hundred eighty".