1424071771728 has 160 divisors (see below), whose sum is σ = 3823315292160. Its totient is φ = 456268200960.

The previous prime is 1424071771649. The next prime is 1424071771751. The reversal of 1424071771728 is 8271771704241.

It is a super-2 number, since 2×1424071771728² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 145264075 + ... + 145273877.

It is an arithmetic number, because the mean of its divisors is an integer number (23895720576).

Almost surely, 2^{1424071771728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424071771728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911657646080).

1424071771728 is an abundant number, since it is smaller than the sum of its proper divisors (2399243520432).

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

1424071771728 is a wasteful number, since it uses less digits than its factorization.

1424071771728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10497 (or 10491 counting only the distinct ones).

The product of its (nonzero) digits is 1229312, while the sum is 51.

The spelling of 1424071771728 in words is "one trillion, four hundred twenty-four billion, seventy-one million, seven hundred seventy-one thousand, seven hundred twenty-eight".