420424442410100 has 36 divisors (see below), whose sum is σ = 912336386840844. Its totient is φ = 168166948058880.

The previous prime is 420424442410079. The next prime is 420424442410111. The reversal of 420424442410100 is 1014244424024.

It can be written as a sum of positive squares in 6 ways, for example, as 1950485973604 + 418473956436496 = 1396598^2 + 20456636^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29381867 + ... + 41281266.

Almost surely, 2^{420424442410100} is an apocalyptic number.

It is an amenable number.

420424442410100 is an abundant number, since it is smaller than the sum of its proper divisors (491911944430744).

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

420424442410100 is a wasteful number, since it uses less digits than its factorization.

420424442410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70722644 (or 70722637 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 420424442410100 its reverse (1014244424024), we get a palindrome (421438686834124).

The spelling of 420424442410100 in words is "four hundred twenty trillion, four hundred twenty-four billion, four hundred forty-two million, four hundred ten thousand, one hundred".