1019421824 has 64 divisors (see below), whose sum is σ = 2155464000. Its totient is φ = 479204352.

The previous prime is 1019421811. The next prime is 1019421829. The reversal of 1019421824 is 4281249101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1019421829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170762 + ... + 176630.

It is an arithmetic number, because the mean of its divisors is an integer number (33679125).

Almost surely, 2^1019421824 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 1019421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077732000).

1019421824 is an abundant number, since it is smaller than the sum of its proper divisors (1136042176).

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

1019421824 is an equidigital number, since it uses as much as digits as its factorization.

1019421824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5965 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1019421824 is about 31928.3858658718. The cubic root of 1019421824 is about 1006.4324758692.

The spelling of 1019421824 in words is "one billion, nineteen million, four hundred twenty-one thousand, eight hundred twenty-four".