1424025122016 has 288 divisors, whose sum is σ = 4635087559200. Its totient is φ = 380357935104.

The previous prime is 1424025121969. The next prime is 1424025122053. The reversal of 1424025122016 is 6102215204241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11855476 + ... + 11974988.

It is an arithmetic number, because the mean of its divisors is an integer number (16094054025).

Almost surely, 2^{1424025122016} is an apocalyptic number.

1424025122016 is a gapful number since it is divisible by the number (16) 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 1424025122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317543779600).

1424025122016 is an abundant number, since it is smaller than the sum of its proper divisors (3211062437184).

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

1424025122016 is a wasteful number, since it uses less digits than its factorization.

1424025122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119706 (or 119691 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 1424025122016 in words is "one trillion, four hundred twenty-four billion, twenty-five million, one hundred twenty-two thousand, sixteen".