10714400256 has 160 divisors (see below), whose sum is σ = 32703264000. Its totient is φ = 3053592576.

The previous prime is 10714400239. The next prime is 10714400269. The reversal of 10714400256 is 65200441701.

It is a super-2 number, since 2×10714400256² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5364250 + ... + 5366246.

It is an arithmetic number, because the mean of its divisors is an integer number (204395400).

Almost surely, 2^10714400256 is an apocalyptic number.

10714400256 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 10714400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16351632000).

10714400256 is an abundant number, since it is smaller than the sum of its proper divisors (21988863744).

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

10714400256 is an equidigital number, since it uses as much as digits as its factorization.

10714400256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 10714400256 its reverse (65200441701), we get a palindrome (75914841957).

The spelling of 10714400256 in words is "ten billion, seven hundred fourteen million, four hundred thousand, two hundred fifty-six".