1009278144 has 336 divisors, whose sum is σ = 3502972928. Its totient is φ = 282175488.

The previous prime is 1009278143. The next prime is 1009278161. The reversal of 1009278144 is 4418729001.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1009278099 and 1009278108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009278143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7947009 + ... + 7947135.

Almost surely, 2^1009278144 is an apocalyptic number.

1009278144 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 1009278144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751486464).

1009278144 is an abundant number, since it is smaller than the sum of its proper divisors (2493694784).

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

1009278144 is an equidigital number, since it uses as much as digits as its factorization.

1009278144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1009278144 is about 31769.1382319382. The cubic root of 1009278144 is about 1003.0831987822.

The spelling of 1009278144 in words is "one billion, nine million, two hundred seventy-eight thousand, one hundred forty-four".