1228440900456 has 384 divisors, whose sum is σ = 4297312992000. Its totient is φ = 318276034560.

The previous prime is 1228440900439. The next prime is 1228440900457. The reversal of 1228440900456 is 6540090448221.

It is a happy number.

1228440900456 is a `hidden beast` number, since 122 + 84 + 409 + 0 + 0 + 45 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1228440900457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74819160 + ... + 74835576.

It is an arithmetic number, because the mean of its divisors is an integer number (11190919250).

Almost surely, 2^{1228440900456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228440900456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148656496000).

1228440900456 is an abundant number, since it is smaller than the sum of its proper divisors (3068872091544).

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

1228440900456 is a wasteful number, since it uses less digits than its factorization.

1228440900456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16870 (or 16849 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1228440900456 in words is "one trillion, two hundred twenty-eight billion, four hundred forty million, nine hundred thousand, four hundred fifty-six".