1228919040 has 288 divisors, whose sum is σ = 4424851200. Its totient is φ = 326965248.

The previous prime is 1228919017. The next prime is 1228919053. The reversal of 1228919040 is 409198221.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1228918986 and 1228919004.

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 31 ways as a sum of consecutive naturals, for example, 2799141 + ... + 2799579.

Almost surely, 2^1228919040 is an apocalyptic number.

1228919040 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 1228919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212425600).

1228919040 is an abundant number, since it is smaller than the sum of its proper divisors (3195932160).

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

1228919040 is an frugal number, since it uses more digits than its factorization.

1228919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1228919040 is about 35055.9415791389. The cubic root of 1228919040 is about 1071.1273063837.

It can be divided in two parts, 12289 and 19040, that added together give a square (31329 = 177²).

The spelling of 1228919040 in words is "one billion, two hundred twenty-eight million, nine hundred nineteen thousand, forty".