10414384926720 has 416 divisors, whose sum is σ = 34796368219392. Its totient is φ = 2654465949696.

The previous prime is 10414384926637. The next prime is 10414384926749. The reversal of 10414384926720 is 2762948341401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3782920864 + ... + 3782923616.

It is an arithmetic number, because the mean of its divisors is an integer number (83645115912).

Almost surely, 2^{10414384926720} is an apocalyptic number.

10414384926720 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 10414384926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17398184109696).

10414384926720 is an abundant number, since it is smaller than the sum of its proper divisors (24381983292672).

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

10414384926720 is a wasteful number, since it uses less digits than its factorization.

10414384926720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 10414384926720 in words is "ten trillion, four hundred fourteen billion, three hundred eighty-four million, nine hundred twenty-six thousand, seven hundred twenty".