10201414410 has 72 divisors (see below), whose sum is σ = 29154155940. Its totient is φ = 2473067520.

The previous prime is 10201414409. The next prime is 10201414429. The reversal of 10201414410 is 1441410201.

10201414410 is a `hidden beast` number, since 10 + 201 + 41 + 4 + 410 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10123780689 + 77633721 = 100617^2 + 8811^2 .

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 457495 + ... + 479274.

Almost surely, 2^10201414410 is an apocalyptic number.

10201414410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201414410 is an abundant number, since it is smaller than the sum of its proper divisors (18952741530).

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

10201414410 is a wasteful number, since it uses less digits than its factorization.

10201414410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936804 (or 936790 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10201414410 its reverse (1441410201), we get a palindrome (11642824611).

The spelling of 10201414410 in words is "ten billion, two hundred one million, four hundred fourteen thousand, four hundred ten".