1144412640 has 360 divisors, whose sum is σ = 4569685848. Its totient is φ = 260789760.

The previous prime is 1144412639. The next prime is 1144412699. The reversal of 1144412640 is 462144411.

1144412640 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 4 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3457275 + ... + 3457605.

Almost surely, 2^1144412640 is an apocalyptic number.

1144412640 is a gapful number since it is divisible by the number (10) 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 1144412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284842924).

1144412640 is an abundant number, since it is smaller than the sum of its proper divisors (3425273208).

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

1144412640 is an equidigital number, since it uses as much as digits as its factorization.

1144412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1144412640 is about 33829.1684792872. The cubic root of 1144412640 is about 1045.9900387432.

The spelling of 1144412640 in words is "one billion, one hundred forty-four million, four hundred twelve thousand, six hundred forty".