1144378800 has 480 divisors, whose sum is σ = 4516853760. Its totient is φ = 273715200.

The previous prime is 1144378789. The next prime is 1144378819. The reversal of 1144378800 is 88734411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4222665 + ... + 4222935.

It is an arithmetic number, because the mean of its divisors is an integer number (9410112).

Almost surely, 2^1144378800 is an apocalyptic number.

1144378800 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 1144378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258426880).

1144378800 is an abundant number, since it is smaller than the sum of its proper divisors (3372474960).

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

1144378800 is a wasteful number, since it uses less digits than its factorization.

1144378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1144378800 is about 33828.6683154983. The cubic root of 1144378800 is about 1045.9797287523.

The spelling of 1144378800 in words is "one billion, one hundred forty-four million, three hundred seventy-eight thousand, eight hundred".