10280042496 has 204 divisors, whose sum is σ = 30772849380. Its totient is φ = 3303014400.

The previous prime is 10280042459. The next prime is 10280042497. The reversal of 10280042496 is 69424008201.

It can be written as a sum of positive squares in 2 ways, for example, as 7136870400 + 3143172096 = 84480^2 + 56064^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 10280042496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10280042497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17104596 + ... + 17105196.

Almost surely, 2^10280042496 is an apocalyptic number.

10280042496 is a gapful number since it is divisible by the number (16) 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 10280042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15386424690).

10280042496 is an abundant number, since it is smaller than the sum of its proper divisors (20492806884).

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

10280042496 is an frugal number, since it uses more digits than its factorization.

10280042496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10280042496 in words is "ten billion, two hundred eighty million, forty-two thousand, four hundred ninety-six".