10410727420 has 48 divisors (see below), whose sum is σ = 22423661568. Its totient is φ = 4057865280.

The previous prime is 10410727417. The next prime is 10410727447. The reversal of 10410727420 is 2472701401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356617 + ... + 384703.

It is an arithmetic number, because the mean of its divisors is an integer number (467159616).

Almost surely, 2^10410727420 is an apocalyptic number.

10410727420 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 10410727420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11211830784).

10410727420 is an abundant number, since it is smaller than the sum of its proper divisors (12012934148).

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

10410727420 is a wasteful number, since it uses less digits than its factorization.

10410727420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28570 (or 28568 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The spelling of 10410727420 in words is "ten billion, four hundred ten million, seven hundred twenty-seven thousand, four hundred twenty".