1228318525440 has 1440 divisors, whose sum is σ = 4817923830720. Its totient is φ = 298678026240.

The previous prime is 1228318525381. The next prime is 1228318525477. The reversal of 1228318525440 is 445258138221.

1228318525440 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 3 + 185 + 25 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18333112287 + ... + 18333112353.

It is an arithmetic number, because the mean of its divisors is an integer number (3345780438).

Almost surely, 2^{1228318525440} is an apocalyptic number.

1228318525440 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 1228318525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408961915360).

1228318525440 is an abundant number, since it is smaller than the sum of its proper divisors (3589605305280).

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

1228318525440 is an equidigital number, since it uses as much as digits as its factorization.

1228318525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 1228318525440 in words is "one trillion, two hundred twenty-eight billion, three hundred eighteen million, five hundred twenty-five thousand, four hundred forty".