1465121424 has 120 divisors (see below), whose sum is σ = 4150526016. Its totient is φ = 442713600.

The previous prime is 1465121417. The next prime is 1465121443. The reversal of 1465121424 is 4241215641.

It is a junction number, because it is equal to n+sod(n) for n = 1465121391 and 1465121400.

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 23 ways as a sum of consecutive naturals, for example, 2321589 + ... + 2322219.

Almost surely, 2^1465121424 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 1465121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075263008).

1465121424 is an abundant number, since it is smaller than the sum of its proper divisors (2685404592).

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

1465121424 is a wasteful number, since it uses less digits than its factorization.

1465121424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 710 counting only the distinct ones).

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

The square root of 1465121424 is about 38276.9045770423. The cubic root of 1465121424 is about 1135.7721266467.

The spelling of 1465121424 in words is "one billion, four hundred sixty-five million, one hundred twenty-one thousand, four hundred twenty-four".