10714394880 has 1296 divisors, whose sum is σ = 48346159680. Its totient is φ = 2257403904.

The previous prime is 10714394813. The next prime is 10714394893. The reversal of 10714394880 is 8849341701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×10714394880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 289578222 + ... + 289578258.

Almost surely, 2^10714394880 is an apocalyptic number.

10714394880 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 10714394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24173079840).

10714394880 is an abundant number, since it is smaller than the sum of its proper divisors (37631764800).

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

10714394880 is an equidigital number, since it uses as much as digits as its factorization.

10714394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10714394880 in words is "ten billion, seven hundred fourteen million, three hundred ninety-four thousand, eight hundred eighty".