1019089344 has 448 divisors, whose sum is σ = 3637702656. Its totient is φ = 244187136.

The previous prime is 1019089321. The next prime is 1019089373. The reversal of 1019089344 is 4439809101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-4 number, since 4×1019089344⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13960092 + ... + 13960164.

It is an arithmetic number, because the mean of its divisors is an integer number (8119872).

Almost surely, 2^1019089344 is an apocalyptic number.

1019089344 is a gapful number since it is divisible by the number (14) 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 1019089344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818851328).

1019089344 is an abundant number, since it is smaller than the sum of its proper divisors (2618613312).

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

1019089344 is a wasteful number, since it uses less digits than its factorization.

1019089344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1019089344 is about 31923.1787890868. The cubic root of 1019089344 is about 1006.3230494452.

The spelling of 1019089344 in words is "one billion, nineteen million, eighty-nine thousand, three hundred forty-four".