11414060280480 has 768 divisors, whose sum is σ = 43231165931520. Its totient is φ = 2494957977600.

The previous prime is 11414060280479. The next prime is 11414060280487. The reversal of 11414060280480 is 8408206041411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (11414060280487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 507032425 + ... + 507054935.

It is an arithmetic number, because the mean of its divisors is an integer number (56290580640).

Almost surely, 2^{11414060280480} is an apocalyptic number.

11414060280480 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 11414060280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21615582965760).

11414060280480 is an abundant number, since it is smaller than the sum of its proper divisors (31817105651040).

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

11414060280480 is a wasteful number, since it uses less digits than its factorization.

11414060280480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22725 (or 22717 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 11414060280480 in words is "eleven trillion, four hundred fourteen billion, sixty million, two hundred eighty thousand, four hundred eighty".