10279240400 has 540 divisors, whose sum is σ = 31983413868. Its totient is φ = 3142656000.

The previous prime is 10279240379. The next prime is 10279240403. The reversal of 10279240400 is 404297201.

It can be written as a sum of positive squares in 6 ways, for example, as 364657216 + 9914583184 = 19096^2 + 99572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10279240403) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 331588385 + ... + 331588415.

Almost surely, 2^10279240400 is an apocalyptic number.

10279240400 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 10279240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991706934).

10279240400 is an abundant number, since it is smaller than the sum of its proper divisors (21704173468).

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

10279240400 is a wasteful number, since it uses less digits than its factorization.

10279240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 10279240400 in words is "ten billion, two hundred seventy-nine million, two hundred forty thousand, four hundred".