10427235840 has 640 divisors, whose sum is σ = 44217169920. Its totient is φ = 2277310464.

The previous prime is 10427235839. The next prime is 10427235877. The reversal of 10427235840 is 4853272401.

It is a happy number.

10427235840 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 72 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10427235795 and 10427235804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11127852 + ... + 11128788.

It is an arithmetic number, because the mean of its divisors is an integer number (69089328).

Almost surely, 2^10427235840 is an apocalyptic number.

10427235840 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 10427235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22108584960).

10427235840 is an abundant number, since it is smaller than the sum of its proper divisors (33789934080).

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

10427235840 is an equidigital number, since it uses as much as digits as its factorization.

10427235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10427235840 in words is "ten billion, four hundred twenty-seven million, two hundred thirty-five thousand, eight hundred forty".