1144899840 has 288 divisors, whose sum is σ = 4219600896. Its totient is φ = 259153920.

The previous prime is 1144899839. The next prime is 1144899857. The reversal of 1144899840 is 489984411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1144899840.

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 31 ways as a sum of consecutive naturals, for example, 5133969 + ... + 5134191.

It is an arithmetic number, because the mean of its divisors is an integer number (14651392).

Almost surely, 2^1144899840 is an apocalyptic number.

1144899840 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 1144899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109800448).

1144899840 is an abundant number, since it is smaller than the sum of its proper divisors (3074701056).

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

1144899840 is a wasteful number, since it uses less digits than its factorization.

1144899840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 1144899840 is about 33836.3685994818. The cubic root of 1144899840 is about 1046.1384508426.

The spelling of 1144899840 in words is "one billion, one hundred forty-four million, eight hundred ninety-nine thousand, eight hundred forty".