1424717061120 has 880 divisors, whose sum is σ = 5489853557760. Its totient is φ = 352178896896.

The previous prime is 1424717061083. The next prime is 1424717061137. The reversal of 1424717061120 is 211607174241.

1424717061120 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 7 + 17 + 0 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 370343037 + ... + 370346883.

It is an arithmetic number, because the mean of its divisors is an integer number (6238469952).

Almost surely, 2^{1424717061120} is an apocalyptic number.

1424717061120 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 1424717061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744926778880).

1424717061120 is an abundant number, since it is smaller than the sum of its proper divisors (4065136496640).

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

1424717061120 is a wasteful number, since it uses less digits than its factorization.

1424717061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 1424717061120 in words is "one trillion, four hundred twenty-four billion, seven hundred seventeen million, sixty-one thousand, one hundred twenty".