1009014144 has 48 divisors (see below), whose sum is σ = 2681848260. Its totient is φ = 336130560.

The previous prime is 1009014109. The next prime is 1009014169. The reversal of 1009014144 is 4414109001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 621654 + ... + 623274.

Almost surely, 2^1009014144 is an apocalyptic number.

It is an amenable number.

1009014144 is an abundant number, since it is smaller than the sum of its proper divisors (1672834116).

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

1009014144 is an frugal number, since it uses more digits than its factorization.

1009014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1009014144 is about 31764.9829844123. The cubic root of 1009014144 is about 1002.9957312990.

Multiplying 1009014144 by its sum of digits (24), we get a square (24216339456 = 155616²).

1009014144 divided by its sum of digits (24) gives a square (42042256 = 6484²).

The spelling of 1009014144 in words is "one billion, nine million, fourteen thousand, one hundred forty-four".