14262450116640 has 768 divisors, whose sum is σ = 52237682348544. Its totient is φ = 3232707379200.

The previous prime is 14262450116611. The next prime is 14262450116659. The reversal of 14262450116640 is 4661105426241.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14262450116592 and 14262450116601.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10479389560 + ... + 10479390920.

It is an arithmetic number, because the mean of its divisors is an integer number (68017815558).

Almost surely, 2^{14262450116640} is an apocalyptic number.

14262450116640 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 14262450116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26118841174272).

14262450116640 is an abundant number, since it is smaller than the sum of its proper divisors (37975232231904).

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

14262450116640 is a wasteful number, since it uses less digits than its factorization.

14262450116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 14262450116640 in words is "fourteen trillion, two hundred sixty-two billion, four hundred fifty million, one hundred sixteen thousand, six hundred forty".