1144416300 has 36 divisors (see below), whose sum is σ = 3311178696. Its totient is φ = 305177600.

The previous prime is 1144416289. The next prime is 1144416311. The reversal of 1144416300 is 36144411.

It is an interprime number because it is at equal distance from previous prime (1144416289) and next prime (1144416311).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1907061 + ... + 1907660.

It is an arithmetic number, because the mean of its divisors is an integer number (91977186).

Almost surely, 2^1144416300 is an apocalyptic number.

1144416300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144416300 is an abundant number, since it is smaller than the sum of its proper divisors (2166762396).

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

1144416300 is a wasteful number, since it uses less digits than its factorization.

1144416300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814738 (or 3814731 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1144416300 is about 33829.2225745730. Note that the first 3 decimals coincide. The cubic root of 1144416300 is about 1045.9911538187.

The spelling of 1144416300 in words is "one billion, one hundred forty-four million, four hundred sixteen thousand, three hundred".